Place the chicken breasts, onion carrots, celery, chicken broth, garlic, dried thyme, dried parsley, salt and pepper into a slow cooker.
Cook on LOW for 5-6 hours or HIGH for 3-4 hours.
Remove the top and add the rice. Cook for one more hour on LOW or HIGH heat.
Remove the chicken breasts from the soup and shred with two forks. Return the chicken to the soup.
Sprinkle with parsley and serve.
