Pat the chicken wings completely dry with a paper towel to ensure maximum crispiness.
In a large bowl, toss the wings with arrowroot starch, sea salt, and black pepper until evenly coated.
Place the wings in the air fryer basket in a single layer and cook at 400°F (200°C) for 20-25 minutes, flipping halfway through, until golden and crispy.
While the wings cook, whisk together the honey, tamari, minced garlic, and toasted sesame oil in a small saucepan over low heat for 2-3 minutes until slightly thickened.
Steam the broccoli florets for 4-5 minutes until they are tender-crisp and bright green.
Place the cooked wings in a clean bowl, pour the honey-garlic glaze over them, and toss to coat.
Serve the glazed wings immediately, garnished with sesame seeds, alongside the steamed broccoli.