Preheat your oven to 425°F (220°C). Line a baking sheet with parchment paper for easier cleanup.
In a small bowl, whisk together the honey, minced garlic, olive oil, a pinch of salt, black pepper, and red pepper flakes to create the glaze.
Pat the chicken wings dry with paper towels. Place them in a large bowl and pour the glaze over the wings, ensuring each piece is evenly coated.
Arrange the chicken wings on the prepared baking sheet in a single layer. Reserve any remaining glaze for basting.
Bake the wings in the preheated oven for 25-30 minutes, flipping them halfway through, until they are crispy and golden brown. In the last 5 minutes of cooking, brush the reserved glaze over the wings for extra flavor.
While the wings are baking, toss the broccoli with a small drizzle of olive oil, salt, and pepper, then spread it out on another baking sheet.
Roast the broccoli in the oven for about 15 minutes or until the edges are slightly crisp and tender.
Remove both the chicken wings and broccoli from the oven. Serve the crispy honey garlic chicken wings alongside the roasted broccoli and enjoy your balanced meal.