Pour in the chicken broth and bring it to a simmer, scraping up the browned bits from the bottom of the skillet.
Stir in the heavy cream and let the mixture simmer for another 2 to 3 minutes to thicken slightly.
Gradually add the Parmesan cheese, stirring constantly until it melts and the sauce becomes smooth and glossy.
Return the cooked chicken to the skillet and toss to combine with the sauce. Add the lemon juice and chopped parsley, then stir to mix everything together.
In a separate pot, cook the pasta according to the package instructions until al dente. Drain the pasta and add it straight to the skillet, tossing to coat evenly with sauce and chicken.
Cook for another 2 to 3 minutes to ensure the pasta absorbs some sauce and heats through.
Taste and adjust salt, pepper, or a squeeze more lemon if you feel fancy. Serve immediately and garnish with extra Parmesan and parsley if desired.
Notes
Reserve some pasta water for sauces. Tasting as you go ensures the dish stays balanced.