Preheat your oven to 400°F (200°C) to ensure even cooking.
In a mixing bowl, combine the hoisin sauce, lime juice, and Tabasco sauce. Stir well.
Add the chicken drumsticks to the bowl, coating them thoroughly with the marinade. Marinate for at least 15 minutes, or up to 2 hours for deeper flavor.
Line a baking sheet with parchment paper and arrange the marinated drumsticks, spacing them apart.
Bake the drumsticks for 35-40 minutes or until the internal temperature reaches 165°F (74°C), basting halfway through.
For extra crispiness, broil for the last 3-5 minutes, watching closely to prevent burning.
Remove from the oven, let rest for a few minutes, and serve hot!