Bring large pot with water to a boil. Add a pinch of salt and pasta, then cook for 8-10 minutes or until pasta is al dente, stirring a few times to make sure noodles do not stick.
Meanwhile, in a medium bowl, add chicken broth, milk, cornstarch and 1/2 teaspoon salt. Whisk and set aside.
Preheat large ceramic non-stick skillet on medium heat and swirl 1/2 tablespoon oil to coat. Add broccoli and cook for 1 minute. Then add a splash of water and cook for another 2 minutes or until bright green. Transfer to a medium bowl and set side.
Return skillet to medium heat and add remaining 1 tablespoon of oil, chicken and garlic, then sprinkle with 1/2 teaspoon salt and 1/4 teaspoon pepper. Cook for 7 minutes, stirring occasionally.
Give cornstarch mixture a whisk and add it to the skillet. Stir, bring to a boil and simmer for 2 minutes until sauce has thickened. Add Parmesan cheese and stir until cheese has melted.
Drain pasta and add to the skillet along with previously cooked broccoli. Stir and let chicken alfredo warm through for a minute.
Garnish with parsley and more Parmesan cheese, if you wish. Serve hot.
Notes
Store: Refrigerate leftovers in an airtight container for up to 1-2 days. To "rehydrate" the noodles, add a splash of milk or broth while simmering on the stove. Add as much milk as you need until desired consistency. It will taste like fresh.
Freeze: I don't recommend to freeze pasta as it doesn't freeze well.