In a large bowl or ziplock bag, combine the minced garlic, grated ginger, honey, soy sauce, toasted sesame oil, olive oil, red pepper flakes, and a pinch of salt and black pepper. Mix well until you have a uniform marinade.
Add the chicken drumsticks to the bowl and toss them until thoroughly coated with the marinade. Cover the bowl and refrigerate for at least one hour or overnight for more flavour.
Preheat your oven to 200°C (392°F). Prepare a baking sheet by lining it with aluminium foil for easy cleanup.
Remove the chicken drumsticks from the marinade, shaking off any excess. Reserve the marinade for basting. Arrange the drumsticks on an oven tray with baking paper or aluminium foil.
Bake the drumsticks in the preheated oven for 30 minutes or until they are golden brown and fully cooked through. Baste with the reserved marinade and flip them over halfway through cooking. Use a meat thermometer to ensure that the internal temperature of the thickest part of the drumstick reaches 74°C (165°F).
Once cooked, sprinkle sesame seeds and finely grated Parmesan cheese evenly over the drumsticks. Rest for 5 minutes and serve with freshly chopped parsley.