Gather all ingredients before starting to cook.
Cook the penne pasta in salted boiling water for 8-10 minutes, adding broccoli in the last 2 minutes. Drain and set aside.
Prepare the broccoli by washing and cutting it into bite-sized florets.
In a large skillet, heat olive oil over medium heat, sauté minced garlic for 1 minute, then add shredded chicken and warm for 2-3 minutes. Pour in heavy cream and bring to a simmer, then stir in Parmesan cheese and Italian seasoning until smooth.
Combine cooked pasta and broccoli with the creamy sauce, tossing gently to coat. Season with salt and pepper to taste.
Serve the pasta in bowls, garnished with fresh parsley.