Slice the chicken breast into even strips and place them in a bowl with the buttermilk to marinate for 20 minutes.
In a shallow dish, combine the almond flour, arrowroot starch, smoked paprika, garlic powder, sea salt, and black pepper.
Remove each chicken strip from the buttermilk, letting the excess drip off, then dredge thoroughly in the flour mixture, pressing to adhere.
Toss the broccoli florets with the avocado oil and a pinch of salt in a separate bowl.
Arrange the chicken and broccoli in a single layer in an air fryer basket, ensuring they are not crowded.
Air fry at 400°F for 12 to 15 minutes, flipping the chicken halfway through, until the coating is golden and the chicken is cooked through.
Serve the crispy chicken strips immediately alongside the tender-crisp roasted broccoli.