In a medium bowl, give the gravy a stir to loosen it up. If it is too thick, thin it with a little water or stock. Using a fork or clean hands, gently combine the gravy, dressing, turkey, and egg. If the mix feels dry, add a little more gravy.

Melt the butter in a heavy skillet over medium-high heat. Spoon the dressing-turkey mixture into the pan in a circle, as you would thick pancake batter. Let the hash brown for about 3 to 4 minutes, then flip it to brown the other side 3 to 4 minutes. Serve warm with a sprinkle of chives and parsley, alongside a salad if you are craving green and/or crunch.