Slice the chicken breast into even 1-inch thick strips and place them in a small bowl with the buttermilk to marinate for 15 minutes.
In a shallow dish, whisk together the almond flour, arrowroot powder, smoked paprika, garlic powder, sea salt, and black pepper.
Remove each chicken strip from the buttermilk, letting the excess drip off, and dredge thoroughly in the flour mixture until fully coated.
Preheat your air fryer to 400°F and lightly coat the basket with avocado oil spray.
Place the chicken in the basket in a single layer, spray the tops with the remaining avocado oil, and air fry for 10-12 minutes, flipping halfway through, until golden and crispy.
While the chicken cooks, whisk together the Greek yogurt, apple cider vinegar, and Dijon mustard in a medium bowl.
Add the shredded cabbage and carrots to the dressing and toss well to combine.
Serve the hot, crispy chicken strips alongside the chilled zesty slaw.