1Brush grill rack with vegetable oil. Heat coals or gas grill for direct heat. In shallow glass or plastic dish or resealable food-storage plastic bag, mix lemon juice, 1 tablespoon oil, the salt, pepper and garlic. Add fish; turn several times to coat with marinade. Cover dish or seal bag and refrigerate 10 minutes.
2Remove fish from marinade; reserve marinade. Cover and grill fish 4 to 6 inches from medium heat 10 to 15 minutes, turning once and brushing with marinade, until fish flakes easily with fork. Discard any remaining marinade.
3Sprinkle fish with parsley and lemon peel.