Use sharp kitchen shears to cut down the middle of the lobster shell. Make sure to only cut the shell, not the meat! Carefully crack the shell open, lift out the meat, and place it on top of the shell. The meat should lift easily from out of the shell but will still be connected at the end so it doesn’t fall off!
In a small bowl, stir together the olive oil, butter, lemon juice, and garlic. Brush lobster meat with garlic butter. Season each lobster tail with a pinch of kosher salt and freshly cracked black pepper.
Oven: Place the lobster tails on a rimmed baking sheet and bake them at 400°F for 10-12 minutes, or until the lobster meat is firm and opaque (and the shells are bright red).
Air Fryer: Place the lobster tails in your air fryer basket and cook at 350°F for 7 minutes, or until the lobster meat is opaque and firm.
Instant Pot: Place the trivet insert in the bottom of your Instant Pot and pour in ½ cup of water. Place the lobster tails on the trivet and attach the lid. Set the Instant Pot to 'Pressure Cook Manual' for 2 minutes (it will take about 10 minutes for the Instant Pot to pressurize). Then release the pressure manually by switching the valve to the “venting” position. The lobster meat should be opaque and firm– if it is not, attach the lid and allow the lobster tails to sit in the Instant Pot for an additional 5 minutes on the “Keep Warm” setting.
Grill: Preheat a gas, charcoal, or pellet grill to high heat (around 400°F). Place the lobster tails on the grill with the meat side down for 5-6 minutes until you have nice grill marks. Turn the tails over with tongs and grill another 2-4 minutes, or until the lobster meat turns opaque and firm.
Serve the lobster tails immediately topped with chopped parsley and with melted butter for dipping.