Preheat oven to 350 degrees F (175 degrees C). Coat bottom and sides of a 2 1/2 quart casserole dish with 1 tablespoon olive oil. (It may seem too large, but it will cook down.)
Heat remaining 1 tablespoon olive oil in a medium skillet over medium heat. Saute garlic until lightly browned. Mix in parsley and eggplant. Saute until eggplant is soft, about 10 minutes. Season with salt to taste.
Spread eggplant mixture evenly across bottom of prepared casserole dish. Sprinkle with a few tablespoons of Parmesan cheese. Spread zucchini in an even layer over top. Lightly salt and sprinkle with a little more cheese. Continue layering in this fashion, with onion, mushrooms, bell pepper, and tomatoes, covering each layer with a sprinkling of salt and cheese.