Dice the chicken breast into 1-inch cubes and set aside.
In a medium pot, heat the olive oil over medium heat and sauté the diced onion, carrots, and celery until the onions are translucent.
Pour in the chicken bone broth and add the dried thyme, sea salt, and black pepper, bringing the mixture to a gentle simmer.
In a small bowl, whisk together the almond flour, arrowroot powder, and baking powder, then stir in 1 tablespoon of the warm broth until a thick dough forms.
Carefully drop small spoonfuls of the dough into the simmering broth to form the dumplings.
Add the diced chicken and frozen peas to the pot, then cover and simmer for 8-10 minutes until the chicken is cooked through and the dumplings are firm.
Stir in the full-fat coconut milk to create a velvety texture and garnish with freshly chopped parsley before serving.