Dice the chicken breast into bite-sized pieces and season with half of the salt and pepper.
In a pot, melt the ghee over medium heat and sauté the onion, carrots, and celery until the onions are translucent.
Add the chicken pieces to the pot and cook until lightly browned on all sides.
Pour in the chicken broth, dried thyme, and dried rosemary, then bring the mixture to a gentle simmer.
In a small bowl, whisk together the flour, baking powder, remaining salt, pepper, and chopped parsley.
Stir the almond milk into the flour mixture until a soft dough forms.
Drop spoonfuls of the dough onto the simmering broth, cover the pot tightly, and cook for 10-12 minutes until the dumplings are puffed and cooked through.
Serve warm in a shallow bowl.