Place the chicken breast in a small bowl with the buttermilk and let marinate for at least 15 minutes.
In a shallow dish, whisk together the almond flour, smoked paprika, garlic powder, onion powder, sea salt, and black pepper.
Remove the chicken from the buttermilk, allowing excess to drip off, and dredge thoroughly in the almond flour mixture.
Lightly coat the chicken with avocado oil spray and place in the air fryer basket.
Air fry at 375°F for 12-15 minutes, flipping halfway through, until the coating is golden and crispy.
While the chicken cooks, whisk the chicken broth and arrowroot powder in a small saucepan over medium heat until it begins to simmer and thicken.
Remove the sauce from the heat and stir in the Greek yogurt and fresh parsley until a smooth, creamy gravy forms.
Steam the green beans for 5 minutes until tender-crisp and bright green.
Serve the crispy chicken alongside the green beans and drizzle the warm gravy over the top.