In a small saucepan, melt the butter over medium heat. Add the minced garlic and sauté for about 1-2 minutes until fragrant. Remove from heat and stir in the chopped parsley.

Season the salmon fillets with salt and black pepper on both sides.

Heat a skillet over medium-high heat. Add the seasoned salmon fillets, skin-side down, and cook for about 4-5 minutes. Flip the fillets and cook for an additional 3-4 minutes until cooked through.

Pour the garlic butter over the salmon fillets during the last minute of cooking. Squeeze fresh lemon juice over the top.

Remove the salmon from the skillet and serve immediately, garnished with lemon slices and additional parsley if desired.