Pat the salmon fillets dry with paper towels and season both sides with salt and black pepper.
Heat olive oil in a large skillet over medium-high heat until shimmering.
Place salmon fillets skin-side down in the skillet and cook without moving for about 7 minutes until the skin is crispy.
Flip the salmon fillets and cook for another 5 to 7 minutes until cooked through to your liking.
Remove from heat and serve immediately with lemon wedges.
Notes
For extra flavor, marinate the salmon briefly in lemon juice and garlic before cooking. Serve with your favorite steamed vegetables or salad for a complete meal.