Clean, wash and thinly slice the zucchini. Put some oregano aside for garnishing. Pluck the remaining leaves from the stems and chop finely. Whisk eggs and season with salt and pepper.
Stir in cheese and chopped oregano. Heat the oil in an ovenproof pan and sauté the zucchini slices in it. Pour the eggs over them and let them simmer in the preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) for 15-20 minutes.
Garnish zucchini pan with oregano.