Preheat your oven to 400°F and place a wire rack over a large rimmed baking sheet lined with parchment paper.
Pat the chicken wings thoroughly dry with paper towels to ensure the skin gets extra crispy during roasting.
In a large bowl, toss the wings with olive oil, arrowroot powder, sea salt, and black pepper until every wing is lightly coated.
Place the wings on the wire rack in a single layer and bake for 35 to 40 minutes, flipping once halfway through, until deeply golden.
While the wings are roasting, finely mince the garlic cloves.
In a small saucepan over medium-low heat, combine the honey, tamari, minced garlic, and apple cider vinegar.
Simmer the sauce for about 5 minutes, stirring frequently, until it reduces into a thick and glossy glaze.
Steam the broccoli florets for 4-5 minutes until they are fork-tender and bright green.
Once the wings are finished, transfer them to a clean bowl, pour the warm glaze over them, and toss to coat evenly.
Serve the glazed wings immediately with the steamed broccoli on the side.