In a large pot, bring salted water to a boil and cook pasta according to package instructions. Before the pasta has reached al dente, and during the last 3 minutes of cooking, add broccoli florets (frozen or fresh) and finish cooking. Remove from heat and drain well. Set aside. (TIP: Try to cook the pasta during the last 10 minutes of making the Alfredo sauce so that the pasta will be fresh and not sitting and clumping together while you finish the sauce.)
In a large skillet, heat 1 Tablespoon extra virgin olive oil over medium heat. Season chicken breasts with salt and pepper. Add chicken to skillet, cooking each side about 4 minutes or until center is cooked through. Remove from heat and cut into bite-size chunks.
Return skillet to the burner and melt butter over medium heat. Add flour to skillet and whisk until lightly browned. Slowly whisk in chicken broth and ½ and ½, stirring constantly, until incorporated. Add garlic powder and pour in heavy cream, stirring constantly until slightly thickened.
Add Parmesan cheese and stir until well combined. If mixture becomes too thick, just add a little more more ½ and ½, as needed.
Finally, stir in the pasta, broccoli and chicken. Gently toss to combine; season with salt and pepper, to taste.
Serve immediately.
Recipe by Zesty Olive - Simple, Tasty, and Healthy Recipes at http://zestyolive.com/chicken-broccoli-alfredo/