Dice the chicken breast into bite-sized pieces and finely chop the carrots, celery, and onion.
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 pieces, dried thyme, sea salt, and black pepper, stirring for 2 minutes to lightly sear the meat.
Pour in the chicken broth and bring the mixture to a gentle simmer.
While the soup simmers, whisk the egg in a small bowl and slowly stir in the cassava flour until a thick, tacky dough forms.
Use a small spoon to drop marble-sized portions of the dough into the simmering broth.
Cover the pot and cook for 8-10 minutes until the dumplings are firm and the chicken is cooked through.
Garnish with fresh parsley before serving in a warm bowl.