Start by grating five hot dogs using the largest holes on the grater and set aside.
In a medium bowl, add the eggs, the milk, the salt and mix everything very well until combined.
Add all the grated hot dogs, parsley to taste and mix again to combine.
In a large skillet over medium to low heat, add a drizzle of olive oil and spread it with a brush.
Add the mixture we prepared and spread it evenly.
Cover the skillet and let it fry for 5 minutes.
After this time has passed, flip the omelet using a plate.
Add the grated mozzarella cheese, cover the skillet again and let it fry for another 3 minutes.
Finally, add oregano to taste.
Serve.