Preheat the oven to 400°F (200°C). Line a sheet pan with parchment paper.
Pat the fish dry with paper towels, then season both sides with salt and pepper.
In a small saucepan over low heat, melt the butter. Add the lemon juice, minced garlic, salt, and chopped basil. Stir, then cover and set the flame to its lowest setting.
Place the fish on the sheet pan. Drizzle olive oil over the fish.
Bake for 12-15 minutes or until the fish flakes easily with a fork.
Plate the fish and spoon the warm sauce over the top.
Garnish with whole basil leaves and serve with lemon wedges.