Set the oven to the Broil setting. Thaw the frozen shrimp and pat them dry with paper towels. Transfer the shrimp to a baking dish and season with salt and ground black pepper.
Add the minced garlic and butter to the shrimp, and stir to combine well.
Broil the shrimp for about 8 minutes, or until they are cooked through. Remove from the oven, top with chopped parsley, and serve immediately with lemon wedges.