1. Preheat the oven to 350°F (180°C). Wash the zucchini and grate them using a large grater.
Sauté them for 15 minutes over low heat in a pan.
2. Add the fresh goat cheese, salt, and pepper.
3. Cook the pasta.
Make a light béchamel sauce: bring the milk to a boil and add the cornstarch, mix over low heat until the sauce thickens, salt, pepper, and add nutmeg.
4. In a dish, alternate the sauce, lasagna sheets, zucchini, finishing with the sauce. Sprinkle with gruyère cheese.
5. Bake for 20 to 25 minutes.