Combine mayonnaise, garlic, and lime juice in small bowl. Season with salt and pepper to taste. Place fish fillets, skinned side up, on broiler pan. Spread half the mayonnaise evenly over fillets.
Bake 5-7 minutes and remove from oven.
Carefully turn fillets over and spread with remaining mayonnaise. Broil 4-6 inches from heat, watching carefully, until browned. Transfer fillets to serving platter and sprinkle with parsley. Serve h ot.