Dice the chicken breast into bite-sized pieces and season lightly with a pinch of sea salt and black pepper.
Heat the avocado oil in a medium pot over medium heat. Add the onion, carrots, and celery, sautéing for 5 minutes until the vegetables begin to soften.
Add the diced chicken to the pot and cook for 3-4 minutes until the exterior is no longer pink.
Pour in the chicken bone broth and bring the mixture to a gentle simmer over medium-low heat.
In a small mixing bowl, whisk together the flour, baking powder, chopped parsley, minced chives, and the remaining salt and pepper.
Stir the almond milk into the dry ingredients until a thick, tacky dough forms.
Using a small spoon, drop rounded tablespoons of the dough directly into the simmering broth, spacing them apart.
Cover the pot with a tight-fitting lid and simmer for 12-15 minutes without lifting the lid, allowing the dumplings to steam and double in size.
Ladle the chicken, vegetables, and dumplings into a bowl and serve immediately while hot.