Add the trivet and 1 cup water or chicken broth to the inside of the Instant Pot.
Using kitchen shears, butterfly the 4 lobster tails by cutting down the center. Loosen the meat and pull the lobster meat upward.
Place the lobster tails on top of the trivet shell side down. Close the lid and lock it in place. Select the "SEAL" mode. Press "STEAM" and add 2 minutes to the cook time. Manually release the steam once the lobster cooks.
In a small bowl, whisk together ¼ cup melted butter, 3 garlic cloves minced, ½ teaspoon paprika, 1 teaspoon thyme minced, 1 teaspoon rosemary minced, 1 teaspoon parsley chopped, and salt and pepper to taste.