01 - Place chicken, chicken broth, onion, carrots, celery, garlic, thyme, parsley, black pepper, salt, and cubed butter into the slow cooker. Stir to evenly distribute ingredients.
02 - Cover and cook on LOW for 6 hours or on HIGH for 3 hours, until chicken and vegetables are tender.
03 - Remove chicken from the cooker, shred using two forks, then return shredded chicken to the slow cooker.
04 - Stir the heavy cream into the slow cooker mixture until combined.
05 - In a separate bowl, whisk together flour, baking powder, and salt. Stir in melted butter, milk, and parsley gently until just combined, avoiding overmixing.
06 - Drop spoonfuls (approximately 1 tablespoon each) of dumpling dough onto the surface of the simmering broth evenly.
07 - Cover and cook on HIGH for 30 to 40 minutes more, until dumplings are cooked through and fluffy.
08 - Ladle hot chicken and dumplings into bowls and garnish with additional fresh parsley as desired.