Heat the olive oil in a medium pot over medium heat and sauté the diced onion, carrots, and celery until the onions are translucent.
Add the diced chicken breast to the pot and cook for 3-4 minutes until the exterior is no longer pink.
Pour in the chicken bone broth and add the dried thyme, sea salt, and black pepper.
Bring the liquid to a gentle simmer, then reduce the heat to low.
In a small mixing bowl, whisk the egg and then stir in the almond flour and coconut flour until a thick, uniform paste forms.
Using a small spoon, drop marble-sized portions of the flour mixture into the simmering broth.
Cover the pot with a lid and let the stew simmer for 10 to 12 minutes until the dumplings are firm and the chicken is cooked through.
Remove from heat, garnish with fresh parsley, and serve immediately in a warm bowl.