Cook pasta according to package directions. Drain.
Grease baking dish with oil.
Preheat oven to 350F.
Heat oil in a saute pan.
Brown the chicken in oil. Add tomatoes, Italian seasoning, and spaghetti sauce. Let it simmer for 8 minutes.
Stir in broccoli. Cook for 1 minute.
Put pasta in baking dish. Pour chicken mixture over pasta. Toss.
Top with Parmesan and mozzarella.
Bake for 25 minutes (uncovered).