I find the easiest way to do this is to cover the pan with a lid to make sure the eggs cook as quickly as possible – while turning the heat to a medium-low. Alternatively, to avoid the risk of burning the hash entirely, you can bake the eggs directly into the hash (if you cook the hash in an oven-proof dish). First, crack the eggs into the pan, then transfer it to a preheated oven at 400ºF/200ºC until cooked to your preference (usually 10-15 minutes).