Whisk the eggs and milk in a bowl until well combined. Add salt to taste.
Heat the butter or olive oil in a small frying pan over low–medium heat. Add the eggs and turn the heat down to low, moving them around the pan slowly with a spatula so they don’t stick to the bottom.
Just before they are starting to set, add the lemon zest, nutmeg and extra salt, if desired and stir.
Serve immediately, garnished with pepper and chives, if using.
