Follow the steps in order for the best result.
In a small bowl, whisk together the soy sauce, sugar, water, minced fresh ginger, minced garlic, sesame oil, and pepper until well combined. This mixture will be the base for the flavorful caramelization.
Arrange the skinless chicken drumsticks in a non-stick skillet. Pour the prepared soy sauce mixture evenly over the drumsticks, ensuring they are well coated. Cover the skillet with a lid and bring the mixture to a boil over medium-high heat. Once boiling, reduce the heat to low, maintaining a gentle simmer. Cook the drumsticks, covered, for approximately 15 minutes, or until they are fully cooked through and tender.
Remove the lid from the skillet. Increase the heat to medium-high, allowing the sauce to thicken and begin to caramelize. This process will take a few minutes. Continue to cook the drumsticks, turning them frequently to ensure they are evenly coated with the caramelizing sauce, for about 5 more minutes.
Observe the sauce closely. It should transform into a dark brown, glossy glaze that adheres beautifully to the chicken. This indicates that the caramelization is complete and the drumsticks are perfectly glazed.
Remove the skillet from the heat. Sprinkle sesame seeds generously over the caramelized chicken drumsticks, allowing them to adhere to the sticky glaze.
Serve the caramelized chicken drumsticks immediately with a side of hot, fluffy rice and steamed broccoli for a complete and satisfying meal.