Put two sticks of butter in the freezer (you'll only use half of each stick). You'll need to remove them from the freezer about 15 minutes before you start preparing the biscuits.: A cool, faint buttery smell will persist while the sticks chill, and the texture firms up making them easier to grate. Cold butter is essential so the grated pieces stay separate and create layers in the biscuit dough; if the butter softens it will smear into the flour and produce dense biscuits. If you forgot to freeze them, pop them into the coldest part of your freezer for at least 20 minutes to recover.
Brush oil over two skin-on, bone-in chicken breasts and season with salt and pepper. Roast at 350°F until the internal temperature reaches 165°F. Once cool enough to handle, remove the skin and then cut out the meat. Cut into bite-sized pieces. Set aside. Or, use rotisserie chicken.: As you rub oil over the chicken and season it, the skin becomes slightly tacky and the salt penetrates the surface, promising deep roast flavor. Roasting at 350°F until the internal temperature hits 165°F yields golden skin and succulent meat; using a thermometer prevents overcooking, which can dry the meat. If you only see pale skin after the roast, broil for a minute or two while watching closely to achieve more color.
Add the broth to a pan and crumble in the bouillon cubes. Heat the broth over medium-low heat.: Pouring warm chicken broth into a pan releases a light savory steam that carries bouillon aroma; crumbling the cubes ensures they dissolve evenly. Keeping the heat at medium-low helps the bouillon melt and blend without sudden reduction. If granules persist, whisk briskly and warm slightly to dissolve completely.
Melt the butter in a large pot over medium heat. Add the onions and carrots and sauté, stirring often, until soft, about 5 minutes. Add the sliced mushrooms and sauté until they are soft and beginning to release liquid, about another 4 to 6 minutes.: When the butter liquefies it begins to scent the kitchen with a toasty, slightly nutty aroma; adding chopped onion and sliced carrots then creates a soft sizzling sound as moisture releases. Sauté until the vegetables are soft and translucent, about 5 minutes, then add mushrooms and cook until they soften and exude liquid. Cooking slowly prevents the vegetables from browning too quickly, which would alter the desired gentle sweetness. If you see the edges catching, lower the heat and stir more frequently.
Stir in the flour and cook, stirring often, for another 1 to 2 minutes.: The flour will absorb the butter and vegetable juices, forming a slightly pasty roux that smells faintly toasty once it cooks. This brief cook time removes raw flour taste and ensures the final sauce has a smooth body. If you do not cook the flour enough, the sauce may taste grainy or floury after adding liquid.
Gradually and carefully add the warm stock to the pot, whisking constantly. Continue stirring until all lumps are gone. Simmer for a few minutes.: As you pour the warm stock into the roux, the mixture will hiss softly and then turn from a paste into a smooth, glossy sauce when whisked. Whisking prevents lumps and encourages an even thickening. If you add stock too quickly or while the pot is extremely hot, you risk forming stubborn pockets of uncooked flour; pour slowly and whisk through each addition.
Stir in the cream and cook for another couple of minutes.: Adding the heavy cream transforms the sauce into a silkier, richer texture and a pale creamy sheen develops. A gentle simmer helps the sauce thicken slightly while concentrating flavor. Keep the heat moderate so the cream does not separate or scorch; if you see tiny oily patches, lower the heat and stir until cohesion returns.
Stir in the chicken, peas, parsley, salt, and pepper. Simmer, stirring often, for about 15 minutes. Taste and add a pinch more salt, if needed. The filling should thicken to the point that it coats the back of your spatula. Set aside.: When the diced roasted chicken hits the warm sauce, steam rises and the filling comes together, studded with green peas and flecks of fresh Italian parsley . Simmer about 15 minutes until the filling thickens enough to coat the back of a spatula. Taste for seasoning and adjust with a pinch more salt if needed. If the filling is too thin, continue simmering gently; if it becomes overly thick, stir in a splash of reserved warm broth.
Grate the cold butter with a box grater onto a cutting board. To make this easier, grate just half of each partially frozen stick of butter.: The action of grating partially frozen butter creates small, cold shards that look like coarse snow on the board. Tossing these into the flour lets each piece stay distinct, yielding flaky pockets in the biscuit. If the butter becomes tacky during grating, return it to the freezer briefly to firm up again.
Place the flour in a large bowl and quickly toss it with the grated butter. Place in the freezer for 15 minutes.: As you work the grated butter into the self-rising flour , the mixture develops a pebbly texture, and you can already imagine the light layers those bits will create. Chilling the mixture for about 15 minutes helps the fat remain cold before adding buttermilk . If you skip chilling, the biscuit dough may become gummy and lose flakiness.
Use a wooden spoon to work the cold buttermilk into the flour/butter mixture. It will be a shaggy (loose) dough.: Stirring with a wooden spoon yields a shaggy, loose dough that smells faintly tangy from the buttermilk . The dough will not come together completely at this stage, and that texture is desirable. Overworking the dough will develop gluten and toughen the biscuits, so mix just until combined.
Turn the dough out onto a floured surface. Use your hands to quickly knead the dough until mostly cohesive (it will still be a bit shaggy).: The dough feels cool and slightly sticky; a light dusting of flour prevents sticking while you knead it quickly to a mostly cohesive mass. Kneading briefly tightens the structure but leaves some shaggy bits for tenderness. If you press too much, the biscuits can become dense rather than tender.
Roll the dough into an 8×10-inch rectangle. Use a bench scraper or a large knife to cut the rectangle into fourths. Stack the quarters on top of each other and again roll the dough into an 8×10-inch square. Repeat one more time.: Rolling reveals layers and you will see seams where the dough can be folded; cutting into fourths, stacking and rolling again builds flakiness. Repeat this fold and roll cycle one more time to create visible layers. If the dough warms or the butter softens too much while working, chill it for a few minutes before continuing.
Use a biscuit/cookie cutter to cut the dough into three biscuits. Roll the scraps into another square and cut out two more biscuits. Use the remaining dough to create one last biscuit; you should have 6 biscuits. Place the biscuits in a cake pan and place them in the freezer for 15 minutes.: The cut edges should be clean and the dough will show neat circular biscuits; gathering scraps and rerolling yields the remaining biscuits until you have six. Place them in a cake pan and freeze for 15 minutes so they hold shape in the oven. If your cutter drags, dip it in flour between cuts to keep edges sharp.
Preheat the oven to 450°F.: A hot oven gives biscuits a fast initial rise and a golden crust. You should feel a warm, dry blast when you open the oven; ensure racks are positioned so the casserole will sit in the center. If the oven is not fully preheated, biscuits may spread rather than rise properly.
If the filling has cooled off, reheat over medium heat until heated through. Transfer the warm filling into a 9×13-inch baking dish.: Warming the filling returns aroma and loosens it so it can be spread into the baking dish; you will see steam and small bubbles at the edges when it is ready. Transfer the warm filling into a 9×13-inch baking dish . Avoid overheating which can reduce moisture and make the final casserole dry.
Remove the biscuits from the freezer and space them evenly over the filling. Brush melted butter over the tops of each biscuit.: The cold biscuits resting on hot filling create contrast and the tops will steam slightly as they bake, promoting tender interiors. Brush melted butter over the tops for color. If biscuits shift while placing them, press gently to secure so they do not topple during baking.
Bake for 15 to 20 minutes, or until the tops are golden brown, turning the dish around halfway through baking.: In the oven you will hear a faint crackle as steam pushes through the dough and the surface browns to a rich hue; I turn the dish halfway to ensure even color. The biscuits should feel springy and a skewer inserted into a biscuit comes out clean. If the tops brown too quickly, tent loosely with foil to allow the centers to finish cooking.
Remove from the oven and brush more melted butter over the tops of each biscuit. Let the casserole rest for 10 minutes before serving. Serve hot, garnish with chopped parsley, if desired.: Brushing immediately gives a glossy finish and a burst of buttery aroma; let the casserole rest for about 10 minutes so the filling settles and slices hold their shape. Garnish with chopped Italian parsley if desired. Cutting into the hot casserole too soon can cause the filling to run and the presentation to suffer.