Pat the salmon fillets completely dry with paper towels to ensure a good crust.
Season both sides of the fillets generously with salt and pepper.
Heat the olive oil in a non-stick skillet over medium-high heat until it shimmers.
Place the salmon in the pan skin-side down and press gently with a spatula for 10 seconds to keep it flat.
Cook undisturbed for 4-5 minutes until the skin is crispy and golden.⏱ 5 min
Flip the fillets carefully and cook for another 2-3 minutes until opaque and cooked through.⏱ 3 min
Remove the salmon from the pan and set aside on a plate.
Reduce heat to low, add butter to the pan, and swirl until melted and foaming.
Stir in the lemon juice and parsley, then spoon the sauce over the salmon before serving.