Start by patting the salmon fillets dry with paper towels. Season both sides of the salmon with salt and pepper.
In a large skillet, heat the olive oil over medium-high heat until it shimmers.
Carefully place the salmon fillets in the skillet, skin side down. Cook for about 4-5 minutes until golden brown. Flip and cook for another 4-5 minutes or until cooked through.
Reduce heat to medium. Add minced garlic and stir for about 30 seconds. Then add butter and lemon juice, letting the butter melt.
Remove salmon from skillet, drizzle with garlic butter sauce, garnish with parsley, and serve immediately.