In a large mixing bowl, combine the sweet chili sauce, lime zest, lime juice, soy sauce, honey, minced garlic, grated ginger, and sesame oil. Whisk together until all ingredients are well integrated and the marinade is smooth.
Add the chicken drumsticks to the bowl of marinade, ensuring they are fully submerged. Gently toss them to ensure an even coating over the entire surface of each drumstick.
Cover the bowl with plastic wrap, or transfer the drumsticks and marinade to a resealable plastic bag. Refrigerate for a minimum of 1 hour, allowing the flavors to penetrate, or up to 4 hours for maximum flavor infusion.
Preheat your grill or oven to 400°F (200°C). For grilling, lightly oil the grill grates to prevent sticking.
Remove the drumsticks from the marinade, allowing any excess to drip off. Season the drumsticks lightly with salt and pepper to enhance flavor.
For grilling: Arrange the drumsticks on the grill and cook for approximately 25-30 minutes. Turn them every 5-7 minutes to achieve even cooking and create appealing grill marks. For baking: Place the drumsticks on a baking sheet lined with parchment paper and bake for 35-40 minutes, turning them halfway through, until the internal temperature reaches 165°F (74°C).
Reserve some of the marinade for an extra burst of flavor. During the last 5 minutes of cooking, brush this marinade onto the drumsticks for a glossy finish.
Once cooked thoroughly, remove the drumsticks from the heat and allow them to rest for about 5 minutes to retain juices. Garnish generously with chopped green onions and a sprinkle of sesame seeds.
Notes
For extra flavor, brush reserved marinade on during the last few minutes of cooking.