Combine first 3 ingredients in bottom of a large platter. Add fish, skin side up, to ginger mixture. Cover and marinate in refrigerator 20 minutes. Remove fish from marinade; pat dry with paper towel to remove excess marinade.
Preheat oven to 450°.
Place a baking sheet in oven 5 minutes. Place shallots and fish, skin side down, on baking sheet; sprinkle with salt and pepper. Brush fish with 1 tablespoon syrup. Bake at 450° for 10 minutes. Brush with 1 tablespoon syrup; bake an additional 7 minutes or until fish flakes easily when tested with a fork. Sprinkle with parsley, if desired.
