Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
Pat the chicken wings completely dry with paper towels to ensure the skin becomes perfectly crispy during roasting.
Place the wings in a large bowl and toss them with the sea salt and black pepper until evenly coated.
Arrange the wings in a single layer on the prepared baking sheet and bake for 35-40 minutes, flipping halfway through for even browning.
While the wings are in the oven, whisk together the honey, tamari, minced garlic, grated ginger, and sesame oil in a small saucepan.
Place the saucepan over medium-low heat and simmer the glaze for about 5 minutes until it thickens into a sticky consistency.
Steam the broccoli florets in a steamer basket over boiling water for 5 minutes until they are tender-crisp and vibrant green.
Remove the crispy wings from the oven and transfer them to a clean bowl, then pour the warm honey-garlic glaze over them and toss to coat.
Serve the sticky glazed wings immediately on a plate alongside the steamed broccoli florets.