Dice the onion, carrots, and celery into uniform bite-sized pieces.
In a medium pot, melt the ghee over medium heat and sauté the onion, carrots, and celery until the onion is translucent.
Add the chicken bone broth, dried thyme, sea salt, and black pepper to the pot and bring to a gentle simmer.
Cut the chicken breast into small cubes and add them to the simmering broth, cooking for about 5 minutes.
In a small bowl, whisk the egg and then stir in the whole wheat flour until a thick, sticky dough forms.
Use a small spoon to drop marble-sized portions of the dough into the simmering soup.
Cover the pot and simmer for 10 minutes until the dumplings are puffed and the chicken is fully cooked.
Garnish with fresh parsley and serve hot.