Place your pasta in a pot of salted boiling water. Cook until al dente according to packet instructions.
Place a deep metal pan on medium/high heat and drizzle with olive oil. Add in the minced garlic and chopped chicken and cook for 3 minutes on each side until the chicken has browned and cooked through. Don't stir too frequently, you want to leave the chicken to brown. Remove and set aside.
Using a ladle, scoop out 300ml of pasta water from your pan into a jug. 2 minutes before your pasta is ready, add in the finely chopped broccoli. Once softened and the pasta is cooked, drain and set aside.
In the empty fried chicken pan, add in the butter and leave to melt on medium heat.
In the butter pan, add in the drained pasta, broccoli, fried chicken, and grated parmesan. Then gradually add the pasta water and stir until blended. Place back on the heat to thicken and stir frequently. Season with salt and pepper.
Once the sauce has thickened and is glossy, serve up the chicken and broccoli alfredo pasta, top with grated parmesan, and enjoy!