Heat the ghee in a medium saucepan over medium-high heat.
Add the diced onion, carrots, and celery, sautéing for 5 minutes until the vegetables are tender and fragrant.
Pour in the chicken bone broth and add the whole chicken breast, dried thyme, sea salt, and black pepper.
Bring the mixture to a boil, then reduce heat to low and simmer for 12-15 minutes until the chicken is fully cooked through.
Remove the chicken to a cutting board, shred it into bite-sized pieces using two forks, and return the shredded meat to the pot.
In a small mixing bowl, whisk together the almond flour, arrowroot starch, and water 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 with a tight-fitting lid and steam the dumplings for 5 minutes without lifting the lid to ensure they set.
Garnish the dish with freshly chopped parsley and serve immediately while hot.