Dice the chicken breast into bite-sized pieces and season with a pinch of the salt and pepper.
Heat the ghee in a medium pot over medium-high heat and sear the chicken until golden on all sides, then remove and set aside.
In the same pot, add the diced carrots, celery, and onion, sautéing for 5 minutes until the onions are translucent and fragrant.
Pour in the chicken broth and bring the mixture to a gentle simmer.
While the broth simmers, prepare the dumpling dough by whisking the flour, baking powder, dried thyme, and remaining salt and pepper in a small bowl.
Stir the Greek yogurt into the flour mixture until a thick, sticky dough forms.
Return the chicken to the pot, then use a small spoon to drop golf-ball-sized dollops of dough directly onto the simmering liquid.
Cover the pot with a tight-fitting lid and steam for 10 to 12 minutes without lifting the lid, ensuring the dumplings become light and airy.
Remove from heat and garnish with freshly chopped parsley before serving in a deep bowl.