Heat the avocado oil in a medium pot over medium-high heat and sauté the diced chicken breast until golden brown on all sides.
Add the diced carrots, celery, and onion to the pot, cooking for 4-5 minutes until the vegetables begin to soften.
Pour in the chicken bone broth and bring the mixture to a gentle simmer.
In a small mixing bowl, whisk together the almond flour, arrowroot starch, baking powder, sea salt, black pepper, thyme, and parsley.
Stir the whisked egg into the dry ingredients until a thick, uniform dough forms.
Stir the coconut milk into the simmering broth to create a creamy base.
Using a small spoon, drop rounded teaspoons of the dough into the simmering liquid.
Cover the pot with a tight-fitting lid and steam the dumplings for 6-8 minutes until they are firm and cooked through.