Heat olive oil in a pot over medium heat and sauté diced chicken breast until golden brown.
Add diced onion, carrots, and celery to the pot, cooking until the vegetables begin to soften.
Pour in chicken broth, dried thyme, sea salt, and black pepper, then bring the mixture to a gentle simmer.
In a small bowl, whisk together almond flour, tapioca starch, and baking powder with a tablespoon of water to form a thick dough.
Drop small spoonfuls of the dough into the simmering broth and stir in the coconut milk for a velvety finish.
Cover the pot and cook for 5-7 minutes until the dumplings are firm and the chicken is cooked through, then garnish with fresh parsley.