Preheat your oven to 400°F (200°C) and line a baking tray with aluminum foil for easy cleanup.
In a mixing bowl, melt the unsalted butter (you can do this in the microwave or on the stovetop). Once melted, add in the minced garlic, lemon juice, lemon zest, salt, and black pepper. Mix well.
Place the salmon fillets skin-side down on the prepared baking tray. Generously spoon the lemon garlic butter mixture over each fillet, ensuring that they are well coated.
Bake the salmon in the preheated oven for about 12-15 minutes, or until the salmon is cooked through and flakes easily with a fork.
Remove the salmon from the oven and let it rest for a minute.
Garnish with fresh chopped parsley and serve with lemon wedges on the side.
For added flavor, you can marinate the salmon in the lemon garlic butter mixture for 30 minutes before cooking.
Serve this dish with a side of steamed vegetables or a fresh salad for a complete meal.