Pat the sea bass fillets dry with paper towels and season both sides with salt and pepper.
In a large skillet, heat the olive oil over medium-high heat. Once hot, add the sea bass fillets skin-side down. Cook for about 4-5 minutes until the skin is crispy and golden brown.
Carefully flip the fillets and cook for an additional 3-4 minutes until the fish is opaque and flakes easily with a fork. Remove the fillets from the skillet and set aside on a plate.
In the same skillet, reduce the heat to medium and add the butter. Once melted, add the minced garlic and sauté for about 1-2 minutes until fragrant, being careful not to burn the garlic.
Stir in the lemon juice and chopped parsley, then pour the garlic butter over the cooked sea bass fillets.
Serve immediately with lemon wedges on the side.