In a large bowl, add the ground chicken, minced garlic, grated shallot, rough chopped capers, lemon zest, eggs, arrowroot flour, parsley, dill, salt, and pepper. Mix the meat and form even meatballs using an ice cream scopper.
Heat a large cast iron skillet and add the avocado oil. Once the pan is hot, add the meatballs and brown for a few minutes per side. It doesn't need to cook all the way through. Once browned on each side, remove and set aside.
In the same skillet, add the ghee and slced garlic. Cook for about 30-40 seconds. Then add in the broth, lemon, capers, 1 tsp arrowroot flour, and add the meatballs back in. Cover and cook until the sauce thickens a bit and the chicken cooks through (about 10 minutes).
Remove from the heat and add a little dill and parsley for garnish.