Preheat oven to 450 degrees F (230 degrees C). Lightly grease a 9x13 inch baking dish.
Combine the zucchini, tomatoes, onion, garlic, and red pepper flakes in the prepared baking dish. Drizzle with the olive oil, season with salt and pepper, and mix well.
Place in preheated oven. Roast until vegetables are tender and slightly golden, about 18 minutes. Remove from oven; sprinkle with the Parmesan cheese and basil.
