Cook the pasta according to package instructions; drain and set aside.
Season the chicken breasts with salt and pepper.
In a large skillet, heat olive oil over medium heat.
Add the chicken breasts and cook for about 5-7 minutes on each side until golden brown.
Remove chicken from the skillet and let it rest before slicing it into strips.
Add minced garlic to the same skillet and sauté for about 1 minute.
Pour in the chicken broth, lemon juice, and zest; bring to a simmer.
Stir in the heavy cream and let it cook for another 3-4 minutes.
Add the cooked pasta to the skillet and toss to combine.
Finally, add the sliced chicken, toss again, and garnish with parsley before serving.