Mix the almond flour, coconut flour, garlic powder, salt, and pepper in a shallow dish. Beat the egg in another shallow dish. Place side by side near the stove. Heat 2 tbsp of your oil over medium high heat in a large cast iron skillet. Meanwhile, dip your butterflied/sliced chicken breasts first in the egg, then dredge them in the flour mixture.
Add to the chicken to the hot pan and cook for 2-3 minutes per side until golden brown and cooked through. You may need to work in batches depending on the size of your chicken breasts. (I did two chicken pieces at a time, removed them, then added 2 more tbsp of olive for the 2nd batch of chicken). Remove from the pan and set aside.
Add ghee to the empty hot pan and scrape up any brown bits as it melts. Add in chicken broth, capers, the juice from one lemon, and the arrowroot powder/water mixture. Bring to a boil and reduce heat - let it simmer for about 3-5 mins. Add chicken back to the pan and keep on low until you're ready to serve. Enjoy!
*I cut two large chicken breasts in half to form 4 thinner breasts, and pounded them until they were of even thickness.