Preheat your air fryer to 400°F (200°C).
Slice the chicken breast into even 1-inch thick strips.
Place the chicken strips in a small bowl and pour the buttermilk over them, allowing them to soak for 10 minutes.
In a shallow dish, whisk together the almond flour, arrowroot powder, smoked paprika, garlic powder, onion powder, sea salt, and black pepper.
Remove each chicken strip from the buttermilk, letting excess drip off, and dredge thoroughly in the flour mixture, pressing firmly to ensure a thick coating.
Lightly brush or spray the coated chicken strips with half of the olive oil and place them in the air fryer basket in a single layer.
Air fry for 12-14 minutes, flipping halfway through, until the coating is golden brown and the internal temperature reaches 165°F.
While the chicken cooks, steam the green beans for 5-6 minutes until tender-crisp.
Toss the steamed green beans with the remaining olive oil and a pinch of salt before serving alongside the crispy chicken.