Preheat the oven to 375 degrees F (190 degrees C). Line a baking sheet with parchment paper.
Place red snapper filets on the prepared baking sheet, skin side down.
Melt butter in a small saucepan over medium-low heat and saute garlic in the melted butter until softened, about 3 minutes. Squeeze lemon juice on top, straining out the seeds.
Brush the snapper liberally with garlic butter mixture, coating both pieces and season with salt and pepper of desired.
Bake in the preheated oven until fish is opaque and firm to the touch, about 20 minutes. Serve immediately.