1. 1. Preheat the oven to 210 °C (425 °F). Partially peel the zucchini to create stripes, then cut them into 1 cm thick slices. Bring a large pot of salted water to a boil and blanch the zucchini for 5 minutes. Drain. Blanch the tomatoes, peel them, and cut them into thick slices. Allow the cancoillotte cheese to come to room temperature to liquefy.
2. 2. Rub a gratin dish with the crushed garlic clove. Grease it with oil. Fill it with alternating layers of tomato and zucchini slices. Season with salt, pepper, and sprinkle with basil. Bake for 30 minutes. Switch the oven to the broil setting. Pour the cancoillotte cheese over the vegetables. Broil for 5 minutes. Serve hot.