Cook the pasta according to package instructions.
In a large skillet, heat olive oil and sauté garlic until fragrant.
Add the chicken breasts, seasoning with salt, pepper, and Italian seasoning.
Cook the chicken until browned and fully cooked through, about 6-7 minutes per side.
Remove the chicken from the skillet and set aside. In the same skillet, add the heavy cream and Parmesan cheese, stirring to combine.
Bring the sauce to a gentle simmer, then add the spinach and let it wilt.
Slice the chicken and return it to the skillet, stirring to coat.
Toss the cooked pasta into the sauce, adding reserved pasta water if needed.
Adjust seasoning with salt and pepper, and serve garnished with parsley.