Rinse the drumsticks and pat them dry with paper towels, then place them in a large ungreased baking dish. If you prefer, remove the skin before marinating.
In a mixing bowl, whisk together the soy sauce, honey, oil, chili sauce, salt, ground ginger, and black pepper until smooth.
Pour the sauce over the drumsticks, turning each piece to coat evenly. Cover the baking dish with aluminum foil and refrigerate for at least 1 hour.
When ready to bake, preheat the oven to 375°F (190°C). Line a broiler pan with foil and set a rack over it.
Using tongs, transfer the drumsticks from the baking dish to the rack, and brush them with any sauce left in the dish.
Bake the drumsticks for 50 to 60 minutes, basting once or twice if desired, until the meat is tender and juices run clear when pierced with a fork.