Combine butter, parsley, chile flakes, garlic, lemon zest, salt, and pepper in a bowl; set aside. Using a cleaver, split lobster in half lengthwise through its head and tail. Scoop out and discard the yel- low-green tomalley and break off claws. Transfer lobster halves, shell side down, to a baking sheet; crack claws and place them on the baking sheet. Drizzle halves and claws with oil, and season with salt and pepper.