Heat the olive oil in a medium pot over medium heat.
Add the cubed chicken breast and sauté for 4-5 minutes until lightly browned on all sides.
Stir in the diced onion, carrots, celery, sea salt, black pepper, and dried thyme, cooking for another 3 minutes until the vegetables are fragrant.
Pour in the chicken broth and coconut milk, then bring the mixture to a gentle simmer.
While the broth simmers, whisk together the almond flour, tapioca starch, and egg in a small bowl until a thick, smooth batter forms.
Carefully drop small spoonfuls of the batter into the simmering broth to form the dumplings.
Cover the pot with a tight lid and cook for 10 minutes without opening, allowing the dumplings to steam and set.
Garnish with freshly chopped parsley and serve warm.