Pat the salmon fillets dry using paper towels. This step helps create a golden crust when cooking. Season both sides evenly with salt and pepper. Let the salmon sit at room temperature for about 5 minutes. This helps it cook more evenly in the pan.
Place a large skillet over medium-high heat. Add olive oil and allow it to heat until shimmering but not smoking. Carefully place the salmon skin-side up in the pan. You should hear a gentle sizzle when it touches the surface.
Cook the salmon for about 4–5 minutes without moving it. This helps form a beautiful golden crust. Once the edges begin to look opaque, it’s ready to flip. Use a spatula to turn the fillets gently.
Reduce the heat to medium. Add the butter directly to the pan and let it melt completely. Stir in the minced garlic and cook for about 30 seconds. Spoon the melted garlic butter over the salmon as it finishes cooking.
Add fresh lemon juice to the pan and place lemon slices around the salmon. Let it cook for another 2–3 minutes. Once the salmon flakes easily with a fork, remove it from the heat. Sprinkle chopped parsley on top before serving.