Pat the drumsticks dry with a clean towel. This helps the skin crisp up in the oven. If you have a wire rack that fits your baking sheet, place the drumsticks on it; otherwise, lay them directly on a parchment-lined sheet.
In a small bowl, whisk together honey, soy sauce, minced garlic, olive oil, grated ginger, salt, pepper, and rice vinegar (if using). This is your glaze.
Toss the drumsticks with half of the glaze, coating them evenly. Reserve the rest for brushing during cooking.
Bake the drumsticks at 425°F (220°C) for about 25–30 minutes. Halfway through, flip them and brush with the remaining glaze to build a shiny, sticky coating.
If you like a crisper skin, broil for the last 2–3 minutes, watching closely to prevent burning. Let the pan rest for a few minutes before serving.
Serve with a simple side like steamed rice, roasted vegetables, or a crisp salad. The glaze thickens as it cools, so spoon any extra syrup over the drumsticks at the table.