Begin by preheating your oven to 400°F (200°C).
In a medium skillet, melt the butter over medium heat. Add the chopped garlic and cook for about 1 minute, stirring frequently until it becomes aromatic, but be cautious not to let it brown.
Take the skillet off the heat and mix in the lemon juice, lemon zest, dill, sea salt, and black pepper until well combined.
Arrange the salmon fillets, skin-side down, in a greased baking dish. Drizzle the lemon herb butter mixture generously over each fillet.
Bake the salmon in the oven for 12-15 minutes, or until it is opaque and flakes easily with a fork, reaching an internal temperature of 145°F (63°C).
Once cooked, allow the salmon to rest for a few minutes before serving. Accompany with lemon wedges for an extra burst of flavor.