Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Pat the salmon fillets dry with paper towels, then season them with salt and pepper on both sides.
In a small saucepan, melt the butter over medium heat. Once melted, add the minced garlic and sauté for about 1-2 minutes until fragrant, being careful not to let it burn.
Stir in the chopped parsley, dill, lemon juice, and lemon zest, mixing well to combine.
Place the salmon fillets on the prepared baking sheet and spoon the garlic herb butter over each fillet, ensuring they're well-coated.
Bake in the preheated oven for 12-15 minutes, or until the salmon flakes easily with a fork and is cooked through.
Once done, remove from the oven and let it sit for a minute before transferring the salmon to a serving plate.
Drizzle any remaining garlic butter from the baking sheet over the salmon and garnish with lemon slices and fresh herb sprigs.