Heat the olive oil in a medium pot over medium heat.
Add the cubed chicken breast and sauté until golden brown on all sides.
Stir in the diced yellow onion, sliced carrots, and sliced celery, cooking for 5 minutes until the vegetables begin to soften.
Pour in the chicken broth and add the dried thyme, dried rosemary, sea salt, and black pepper.
Bring the mixture to a gentle simmer, then reduce heat to low.
In a small bowl, whisk together the almond flour, arrowroot powder, and egg white until a thick paste forms.
Use a small spoon to drop marble-sized dollops of the dumpling mixture into the simmering broth.
Cover the pot with a tight-fitting lid and steam for 8 to 10 minutes until the dumplings are firm and the broth has thickened into a creamy consistency.
Ladle the stew into a bowl and garnish with minced fresh parsley before serving.