Pat the chicken wings completely dry with a paper towel to ensure the skin gets maximum crispiness.
In a large bowl, toss the wings with arrowroot starch, sea salt, and black pepper until every piece is evenly coated.
Arrange the wings in a single layer in an air fryer basket and cook at 400°F for 20 minutes, flipping halfway through for even browning.
While the wings are air-frying, whisk together the honey, tamari, sesame oil, minced garlic, grated ginger, and apple cider vinegar in a small saucepan.
Place the saucepan over medium-low heat and simmer for 3 to 5 minutes until the sauce thickens into a glossy, sticky glaze.
Steam the broccoli florets in a steamer basket for 4 to 5 minutes until they are tender-crisp and bright green.
Transfer the crispy wings to a clean bowl, pour the warm honey-garlic glaze over them, and toss until thoroughly coated.
Serve the glazed wings immediately alongside the steamed broccoli.