Place the chicken thighs in the bottom of the crockpot.
On top of the chicken, add the chopped onion, minced garlic, sliced carrots, and chopped celery.
Pour the chicken broth over the vegetables and chicken. Sprinkle the dried thyme, dried rosemary, black pepper, and salt over the top.
Cover the crockpot and cook on low for 6-8 hours or on high for 3-4 hours, until the chicken is fully cooked and tender.
About 30 minutes before serving, remove the chicken thighs from the crockpot. Use two forks to shred the meat. Return the shredded chicken to the crockpot.
Stir in the heavy cream and frozen peas, allowing it to warm through.
Open the can of biscuit dough and cut each biscuit into quarters. Gently fold the dough pieces into the mixture in the crockpot, ensuring they are covered by the broth mixture.
Cover and cook on high for an additional 30 minutes, or until the dumplings are fluffy and cooked through.
Once done, sprinkle freshly chopped parsley on top for a burst of color and flavor. Serve hot and enjoy the comforting warmth!