01 - Place chicken breasts in the bottom of the slow cooker in a single layer.
02 - Melt butter in a medium saucepan over medium heat. Add cream cheese and stir until smooth and fully melted.
03 - Stir in the cream of chicken soup, Italian dressing mix, and chicken broth. Continue stirring until well combined and smooth.
04 - Pour the sauce evenly over the chicken breasts in the slow cooker.
05 - Cover and cook on LOW for 4-5 hours, or until the chicken is tender and reaches an internal temperature of 165°F.
06 - About 20 minutes before serving, cook the angel hair pasta according to package directions. Drain well.
07 - Remove the chicken from the slow cooker and shred or leave whole, as desired. Stir the sauce to blend.
08 - Serve the chicken and sauce over cooked angel hair pasta. Garnish with chopped parsley and black pepper, if desired.