Cook the penne pasta according to package instructions until al dente. Drain and set aside.
In a large skillet, heat olive oil over medium heat. Add the diced chicken and cook for about 5-7 minutes, or until browned and cooked through.
Stir in the minced garlic, oregano, salt, and black pepper. Cook for an additional 1-2 minutes until the garlic is fragrant.
Add the cherry tomatoes and cook for another 2-3 minutes until they soften.
Combine the cooked pasta with the chicken and tomato mixture. Stir in the fresh basil and half of the mozzarella cheese.
Serve the pasta warm, drizzled with balsamic glaze and topped with the remaining mozzarella cheese.