Place cherry tomatoes, zucchini, and red bell pepper on a baking sheet. Drizzle with olive oil, and sprinkle with salt, pepper, and oregano. Toss to coat.
Roast vegetables in the preheated oven for 20-25 minutes, until tender and slightly charred.
Meanwhile, cook pasta according to package instructions. Drain and set aside.
Combine roasted vegetables and pasta in a large bowl. Toss to mix.
Sprinkle with grated Parmesan cheese before serving.