Prepare spaghetti in boiling salted water according to package instructions. Peel carrots, cut into small pieces and blanch in boiling salted water for 2-3 minutes, drain and drain. Wash and clean the zucchini and cut into small cubes.
Drain the spaghetti and let it drain well. Mix spaghetti and vegetables and put them into an ovenproof pan (18 cm Ø). Wash parsley, shake dry, pluck leaves and chop finely.
Whisk eggs, milk and parsley. Season with salt and pepper and pour over the pasta mixture. Let stand in the preheated oven (electric cooker: 200 °C/ circulating air: 175 °C/ gas: see manufacturer) for 15-20 minutes.
Remove and serve immediately.