Preheat your air fryer to 400°F and lightly coat the basket with the olive oil.
Place the buttermilk in a shallow bowl and soak the chicken breast for 5 minutes.
In a separate bowl, whisk together the almond flour, half of the arrowroot powder, garlic powder, onion powder, paprika, salt, and pepper.
Dredge the soaked chicken in the flour mixture, pressing firmly to ensure a thick, even coating.
Place the chicken in the air fryer and cook for 12-15 minutes, flipping halfway through, until the internal temperature reaches 165°F.
While the chicken cooks, melt the ghee in a small saucepan over medium heat.
Whisk in the remaining arrowroot powder for 1 minute, then slowly pour in the bone broth and almond milk while whisking constantly.
Simmer the gravy for 3-5 minutes until it thickens into a silky consistency, then stir in the fresh parsley.
Serve the crispy chicken immediately, generously topped with the warm, creamy gravy.