Rinse the salmon fillet with cold water and pat it dry with paper towels.: A clean surface is essential, and the drying step ensures the pan creates a sear rather than steam. You'll notice the fillet's surface going from damp to slightly tacky as moisture leaves, which helps the oil cling. If the fish is not dry enough, it will hiss and steam rather than sizzle, so blot carefully. A common mistake is skipping the pat dry step, which can keep you from getting that golden crust.
Brush or coat 1/2 tablespoon of olive oil on both sides of the salmon.: Coating the fish lightly with olive oil helps the seasonings adhere and encourages even browning. As you apply the oil you should see a glossy sheen appear on the flesh, and the oil will smell slightly fruity. Too much oil can cause excessive splatter in the pan, so use the measured amount to keep control.
Sprinkle salt, freshly ground black pepper, and smoked paprika on both sides of the salmon fillet.: Seasoning at this point builds the flavor baseline. When you sprinkle, tilt the fillet so the spices land evenly, and you'll see a colored crust start to form as the fish cooks. The aroma of the paprika and pepper should become pronounced as heat hits them. Avoid over salting, because that can dominate the delicate fish flavor.
Heat a pan over high heat. When the pan is fully heated, add the remaining 1/2 tablespoon of olive oil. Cook the salmon for 2 to 3 minutes, without moving it.: A properly hot pan is the key to a great sear. When the oil shimmers and a faint wispy smoke appears, place the fillet skin side down if it has skin. You should hear a clean, sustained sizzle that signals caramelization. Resist the urge to move the fillet, because that disrupts crust formation. A frequent error here is using medium heat, which yields a pale, steamed surface instead of a crisp exterior.
Turn the salmon over and cook the other side for another 2 to 3 minutes, or until the inside is just cooked through. Do not overcook, as this will keep the salmon moist and juicy inside.: After flipping, watch for a change in the fish's color from translucent to opaque along the edge, which indicates doneness progressing inward. The center should still be slightly glossy and tender when ready, not chalky. You may gently press the thickest part with a finger to test for springiness. Overcooking is the most common misstep, leading to dry texture, so err on the side of slightly underdone if you intend to rest briefly.
Top the salmon with chopped parsley and serve immediately with lemon wedges. Squeeze lemon juice over the salmon before eating.: The final garnish brightens the dish and adds a fresh scent that contrasts the warm, savory notes. Squeezing the Lemon wedges releases fragrant oils and acid that cut through fattiness, and you should hear and feel the citrus juice as it hits the hot fish, releasing aroma. Serve right away for best texture, because sitting will soften the crisp edges. A typical mistake is delaying the squeeze, which misses the immediate flavor uplift.