Place the chicken breasts in the bottom of the crockpot. Add the chicken broth, carrots, celery, onion, garlic, thyme, oregano, salt, and pepper.
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 crockpot and shred it using two forks. Return the shredded chicken to the pot.
Stir in the heavy cream and gnocchi. Cover and cook on high for an additional 30 minutes, or until the gnocchi is cooked and tender.
Add the fresh spinach and stir until wilted. Serve hot, garnished with fresh parsley.