In a slow cooker, combine the chicken broth, chicken breasts, carrots, celery, onion, garlic powder, thyme, salt, and pepper. Stir to mix well.
Cover and cook on low for 6-7 hours or on high for 3-4 hours, until the chicken is cooked through and tender.
Remove the chicken from the slow cooker and shred it with two forks. Return the shredded chicken to the slow cooker.
Stir in the cream of chicken soup and frozen peas. Mix until well combined.
Drop spoonfuls of biscuit dough on top of the mixture in the slow cooker. Cover and cook on high for an additional 30-40 minutes, until the biscuits are cooked through.
Serve hot, garnished with fresh parsley.