Cook the pasta according to package instructions until al dente, then drain and set aside.
While the pasta cooks, season the chicken breasts with salt and pepper.
In a large skillet, heat olive oil over medium heat, then add the seasoned chicken.
Cook the chicken for about 6-7 minutes per side until golden and cooked through, then remove and slice.
In the same skillet, add the minced garlic and sauté for about 1 minute until fragrant.
Reduce the heat, then pour in the heavy cream, stirring to combine with the fragrant garlic.
Add the grated Parmesan cheese and stir until melted and the sauce is smooth.
Mix in the cooked pasta, adding reserved pasta water as needed to reach the desired consistency.
Slice the chicken and serve on top of the pasta, garnished with chopped parsley.