01 - Arrange chicken breasts in a single layer at the bottom of the slow cooker.
02 - Melt butter in a medium saucepan over medium heat. Add softened cream cheese and stir until completely smooth and melted.
03 - Blend in cream of chicken soup, Italian dressing mix, and chicken broth. Stir continuously until mixture is smooth and well incorporated.
04 - Pour the prepared sauce evenly over the chicken breasts in the slow cooker.
05 - Cover and cook on LOW setting for 4-5 hours until chicken is tender and reaches internal temperature of 165°F.
06 - About 20 minutes before serving, cook angel hair pasta according to package directions until al dente. Drain thoroughly.
07 - Remove chicken from slow cooker and shred or leave whole. Stir sauce to blend. Serve chicken and sauce over pasta, garnished with parsley and black pepper if desired.