01 - Place the chicken breasts in a single layer at the bottom of the slow cooker.
02 - In a medium mixing bowl, whisk together the heavy cream, chicken broth, softened cream cheese, grated Parmesan, minced garlic, dried Italian herbs, salt, black pepper, and red pepper flakes until smooth and well combined.
03 - Stir the sliced sun-dried tomatoes into the cream sauce mixture.
04 - Pour the sauce evenly over the chicken breasts, ensuring each piece is well coated.
05 - Cover the slow cooker and cook on LOW for 4 to 5 hours, or until the chicken is fork-tender and reaches an internal temperature of 165°F.
06 - Using two forks, shred the chicken directly in the sauce for a pulled texture, or leave the breasts whole for a plated presentation.
07 - Ladle into bowls or over mashed potatoes, steamed rice, or pasta. Finish with a scattering of fresh basil leaves.