Bring a large pot of water to a rapid boil. Add pasta and stir gently. Cook for 5 minutes, stirring occasionally. Add broccoli and cook 5 minutes longer. Drain and set aside.
Meanwhile, in a large sauté pan over medium-high heat, heat 1 tablespoon of olive oil.
Sauté onion, squash, zucchini and peppers for 5 minutes.
Add garlic and chicken to sauté pan and cook for 3 minutes.
Add 3 tablespoons of olive oil to sauté pan. Stir in spinach and tomatoes. Stir until spinach is wilted.
Turn off heat. Add penne and broccoli, toss to combine. Season to taste with salt and pepper. Garnish with parmesan cheese as desired.
