Bring a large pot of water to a boil over high heat. Meanwhile heat the olive oil in a medium saucepan over medium heat.
Add the onion and garlic and cook until translucent. Add the chicken and cook until no longer pink.
Once your pot of water is boiling add the broccoli and cook until firm, yet tender. Use a slotted spoon and transfer the broccoli to the saucepan with the chicken.
Return the large pot of water back to a boil and add the pasta. Cook until al dente. Drain the pasta and save 1 cup of the pasta water. Add the pasta, water and salt to the broccoli and chicken mixture, toss to mix.
Add the Parmesan cheese and mix again. Serve and top with addition cheese if desired. Enjoy!
Recipe by MyLitter - One Deal At A Time at http://mylitter.com/penne-with-chicken-and-broccoli-recipe/