1. In a large pot of boiling salted water, cook pasta according to package directions.
  2. In the final 3 minutes of cooking, add broccoli to the pasta and cook the remaining time.
  3. Drain pasta.
  4. In a large 12 inch skillet over medium-high heat, heat oil.
  5. Add chicken to skillet and begin to cook, flipping them over once, until they are cooked through, about 2 minutes per side.
  6. Remove them from the pan and set aside.
  7. Melt butter in the skillet over medium heat.
  8. Whisk in flour until lightly browned, about 1 minute.
  9. Gradually whisk in chicken broth and milk, and cook, whisking constantly, until incorporated, about 1-2 minutes.
  10. Stir in heavy cream, garlic powder, and Italian seasoning until slightly thickened, about 1-2 minutes.
  11. Add in 1/3 cup Parmesan until well combined, about 1 minute.
  12. If the mixture is too thick, add more milk as needed.
  13. Stir in pasta, broccoli and chicken.
  14. Serve and sprinkle with additional Parmesan cheese