Bring a large pot of salted water to a boil. Cook the penne pasta according to the package instructions until al dente. In the last five minutes of cooking the pasta add the broccoli florets to the pasta water. Drain and set aside.

In a large skillet over medium heat, add the chicken broth and half and half, stirring to combine. Sprinkle in the Italian seasoning, salt, and pepper. Whisk to mix. Heat until the mixture is steaming and hot, but not boiling.

Sprinkle the Parmesan cheese over the top, then add in the warmed cream cheese. Whisk continuously until the cheeses are melted and the sauce is smooth. Adjust the seasonings to taste.

Add the cooked chicken and the cooked pasta to the skillet with the sauce.Toss everything together until the pasta is well-coated with the cheesy sauce.

Spoon the creamy broccoli chicken pasta onto plates or into bowls. Garnish with fresh chopped parsley and an additional sprinkle of Parmesan cheese if desired.