Cook the pasta according to package instructions until al dente, then drain and set aside.
In a large skillet, heat the olive oil over medium heat and add the chicken breasts.
Season both sides of the chicken with salt and pepper as it cooks for about 6-7 minutes per side, until fully cooked through.
Remove the chicken from the skillet and let it rest, then slice it into strips.
In the same skillet, add minced garlic and sauté for about 1 minute until fragrant.
Pour in the heavy cream, stirring to combine, then bring to a simmer.
Stir in the grated Parmesan cheese until melted and the sauce thickens, about 3-5 minutes.
Toss the cooked pasta and sliced chicken into the sauce, mixing well to coat evenly.
Serve hot, garnished with fresh parsley as desired.