Cook the pasta as directed on package. Add the broccoli to the cooking pasta during the last 4-6 minutes of cooking time. Drain the pasta and broccoli and set aside. While the pasta is cooking, heat a skillet over medium high heat. Add the butter. When melted, add the cubed chicken and cook, stirring often, until browned. Stir in the soup, milk, parmesan, and black pepper. Mix well. Stir in the pasta and broccoli and mix until the pasta is completely coated in the sauce. Heat for 2-3 minutes. Serve immediately.