When thawing, remove from plastic packaging. Cover and refrigerate below 38°F. Once thawed, consume within one to two days.
Broil or Grill: Preheat broiler, position top rack 3-4 inches from heat source or preheat grill to medium. Butterfly tails by cutting down through middle of hard shell with a sharp knife. Cut through flesh but not underside membrane. Hold tail in both hands and open flat. Brush lightly with melted butter or olive oil. For broiling, place lobster tails on broiler pan shell side down. Broil for 6-7 minutes. For grilling, place flesh side down on grill and cook for 7-9 minutes, flipping when necessary if flare up occurs.
Stove-top: Bring 2 quarts of water to a boil in large saucepan. Remove plastic wrap from frozen tails and place in boiling water. Return to a boil, reduce heat to a simmer and cook tails for 12-15 minutes until meat is opaque in color.
Bake: Preheat oven to 450°F. Remove tail from plastic and wrap each tail tightly in heavy-duty aluminum foil. Place on baking sheet in oven on center rack. Bake for 40-45 minutes.