Preheat oven to 400° F.: You should smell a faint clean warmth from your oven as it reaches temperature, which ensures even garlic roasting. Use an oven thermometer if yours is unreliable. Common mistake, setting the wrong temperature leads to under roasted garlic .
Cut 1/4” off the top of the head of garlic, making sure that all of the cloves are cut open and the root and bulb remain intact. Place garlic bulb on a double layer of foil, then drizzle the cut side of the garlic with olive oil.: The exposed tops will caramelize and release a heady, sweet aroma when roasted, signaling readiness. Keep the bulb intact so cloves steam gently rather than drying out. Avoid slicing too deeply, which can cause the cloves to fall out and burn.
Wrap the garlic up loosely with the foil and place it in a small oven-safe dish. Roast for about 35 minutes, or until the garlic is golden brown, softened, and fragrant. Set aside to cool.: The oil encourages browning and gives the garlic a glossy, golden finish. The scent should shift from sharp to warm and toasty as it roasts. Too little oil can result in dry, unevenly roasted cloves.
Add the parsnips, potato, and 1 teaspoon salt to a medium saucepan. Add enough water to just barely cover the vegetables and then place the pan over high heat.: Wrapping retains steam while allowing the cut surface to roast, producing tender, squeezable cloves. The dish catches any drips and keeps the oven clean. Wrapping too tightly can trap moisture and reduce caramelization.
Bring the water to a boil and then reduce the heat to medium to medium-high. Boil for 17-20 minutes, or until the parsnips are fork tender.: When done you will see deeply golden tips and feel soft cloves when pressed, the smell will be sweet and nutty rather than sharp. Let it cool slightly so you can handle it. If you remove it too early the garlic will taste raw and pungent.
Drain the water and return the vegetables to the pan. Add the remaining 1/2 teaspoon salt, pepper, half & half, butter, and thyme.: Cooling lets the garlic mellow further and makes squeezing the cloves out much easier without burns. Rushing this step can lead to lost juices or burns when handling hot cloves.
Squeeze the roasted garlic out of the skins and into the parsnip puree.: At this stage you will notice the fresh vegetal scent of the chopped parsnips and Yukon Gold potato . The salt in the water begins seasoning from the inside out, which is key for depth of flavor. Overcrowding the pan will cause uneven cooking.
Use an immersion blender on low speed to mash the vegetables. Increase the speed of the blender and continue to puree until you reach your desired consistency. Blend as little or as much as you like, from a bit chunky to completely smooth.: The visual cue is the water line just above the pieces so they steam and boil evenly rather than dilute. Starting on high brings the liquid to a boil efficiently. Too much water will leach flavor into the cooking liquid.
Stir in the grated Parmesan and season with additional salt and pepper, if needed. Transfer to a serving dish, if desired. Sprinkle with additional fresh thyme leaves, if desired. Enjoy hot.: Listen for a lively boil that calms to a steady simmer, which is ideal for even tenderizing without falling apart. You want a gentle rolling bubble, not a violent boil. Boiling too hard can shred the pieces and make them mushy.
Boil for 17 to 20 minutes or until the parsnips are fork tender.: Test by piercing a chunk with a fork, it should slide in easily and feel soft but not collapsing. The kitchen will begin to smell sweet and starchy as the roots cook. Undercooking will leave fibrous bits, overcooking will waterlog the vegetables.
Drain the water and return the vegetables to the pan.: Drain thoroughly so the puree does not become watery, then place the warm pieces back into the pan to allow residual steam to evaporate a touch. Leaving excess water will dilute flavor and affect texture.
Add the remaining 1/2 teaspoon salt pepper half & half butter and thyme.: As these warm ingredients hit the hot vegetables you will see a gentle glossy sheen and smell a rich, herbaceous lift from the thyme . The dairy and butter help bind and enrich the final mouthfeel. Adding cold dairy straight from the fridge can momentarily cool the mixture.
Squeeze the roasted garlic out of the skins and into the parsnip puree.: The roasted cloves should be soft and spreadable, releasing a sweet, caramel like perfume that melds into the mix. Work carefully to avoid any papery bits from the skins. If the garlic is under roasted it will bring a harsh edge.
Use an immersion blender on low speed to mash the vegetables.: Start low to break down the pieces gently, you will hear a soft whir and see the texture begin to smooth. This preserves a creamy body without overworking starches. A common error is blasting at high speed from the start which can create a gluey texture.
Increase the speed of the blender and continue to puree until you reach your desired consistency.: As the speed increases the mixture will transform visually into a cohesive, velvety mass, and the aroma becomes richer and more integrated. Stop when you achieve the balance you want, from slightly chunky to silky smooth. Over blending for too long can warm the puree excessively and change the mouthfeel.
Blend as little or as much as you like from a bit chunky to completely smooth.: The choice affects texture and how the puree pairs with a main dish, chunkier for rustic plates and smoother for elegant presentations. Taste as you go to adjust seasonings. Forgetting to taste is a common oversight that can leave the dish under seasoned.
Stir in the grated Parmesan and season with additional salt and pepper if needed.: Off heat, the Parmesan melts into the warm puree adding savory umami and a rounded finish, and additional seasoning should be adjusted carefully to avoid over salting. Test a small spoonful to balance. Adding cheese while the mixture is too hot can make it stringy rather than integrated.
Transfer to a serving dish if desired.: Look for a smooth shine and even texture as you spoon it into a bowl, finishing with a flourish of fresh thyme for color and aroma. Present warm for best texture and flavor. Letting it sit too long will form a skin and cool the fats.
Sprinkle with additional fresh thyme leaves if desired.: The herb adds a final visual and aromatic note, the green flecks contrast with the pale puree and release a bright scent when served. Add just before serving for maximum freshness. Over garnishing can mask the delicate root flavors.
Enjoy hot.: Serve promptly so the texture is luxuriously warm and the flavors are vivid, and notice how the garlic and Parmesan harmonize with the sweet parsnips . Leaving it to cool will dull the flavors and tighten the texture.