Place chicken breasts in the bottom of the slow cooker and season with black pepper and minced garlic.
Pour the Garlic Parmesan sauce over the chicken and place cubed cream cheese on top.
Cover and cook on LOW for 4 hours or HIGH for 3 hours until chicken is tender.
Remove the chicken and shred it using two forks, then return it to the slow cooker.
Boil the pasta in a separate pot of salted water according to package directions until al dente.
Drain the pasta and add it to the slow cooker.
Stir in heavy cream and grated Parmesan cheese until the sauce is smooth and combined.
Garnish with dried parsley and serve immediately.