In a medium-sized skillet over medium heat, melt the butter.
Once the butter is melted, add the minced garlic to the skillet and sauté for about 1 minute, until fragrant. Be careful not to burn the garlic!
Stir in the lemon juice and lemon zest, then remove from heat.
Place the salmon fillets on a lined baking sheet, skin-side down. Season them with salt and pepper.
Pour the garlic butter mixture evenly over the salmon fillets, ensuring each fillet is well-coated.
Bake the salmon in the preheated oven for 15-20 minutes, or until the salmon is cooked through and flakes easily with a fork. Cooking times may vary depending on the thickness of the fillets.
Once done, remove from the oven and sprinkle freshly chopped parsley over the top for added flavor and color.
Garnish with lemon slices on the side and a sprinkle of fresh dill if desired.