Preheat oven to 375 degrees.
Lightly coat a baking dish with olive oil (you don’t need much). Place flounder in baking dish; sprinkle evenly with, salt, pepper and allspice then pour orange juice on top.
Arrange broccoli florets around the fish. Sprinkle fish and broccoli with the minced garlic and drizzle with the 1 tablespoon of olive oil.
Bake for 30 minutes or until fish flakes easily when tested with a fork and broccoli is tender-crisp.