01 - Pat salmon fillets dry with paper towels. Season both sides thoroughly with kosher salt and freshly ground black pepper, paying extra attention to the skin.
02 - Heat olive oil in a large nonstick or stainless steel skillet over medium-high heat until oil shimmers but is not smoking.
03 - Arrange salmon fillets skin-side down in the pan. Press gently with a fish spatula for the first 30 seconds to maintain skin contact and prevent curling.
04 - Sear salmon without moving for 5 to 7 minutes, until skin is crisp and golden brown and the fish is cooked approximately two-thirds of the way through.
05 - Flip salmon fillets and cook the flesh side for 1 to 2 minutes, just until the flesh turns opaque and is cooked through. Transfer to plates skin-side up.
06 - Reduce heat to medium-low. In the same pan, melt unsalted butter. Add minced garlic and sauté for 30 seconds until fragrant. Stir in lemon juice and freshly chopped parsley.
07 - Spoon the warm lemon butter sauce over the plated salmon fillets just before serving.