Peel the sausages from their skin, make cuts in which you will be putting the pieces of cheese, then arrange them in a tray with space between them.
Slice the potatoes and stack them in tiers between the pieces of sausage. Pour beaten eggs on top and sprinkle with chopped green onions.
Sprinkle with a few tablespoons of oil. Put the tray on the middle oven element and bake at 356°F (180°C) until golden brown. The ingredients listed yield 4 servings.