Thaw Lobster: Thaw lobster tails if frozen. Refrigerate for several hours or quick-thaw in a sealed bag in cold water for 30-60 minutes.
Preheat Broiler: Preheat broiler to high. Position rack in the top position.
Prepare Lobster Tails: Using kitchen shears, cut the top of the lobster shells lengthwise. Gently lift the meat, leaving it attached at the tail. Place meat on top of the shells.
Make Garlic Butter Sauce: Melt butter in a small saucepan over low heat. Add minced garlic and sauté for 1-2 minutes until fragrant (do not brown). Remove from heat and stir in lemon juice and paprika. Season with salt and pepper.
Broil Lobster: Brush garlic butter sauce generously over the lobster meat. Place tails on a broiler pan or baking sheet lined with foil. Broil for 10-12 minutes, or until meat is opaque and slightly browned. Watch closely, as broilers vary.
Garnish and Serve: Remove from broiler. Garnish with parsley and serve hot with lemon wedges.