Whisk together the olive oil, soy sauce, Worcestershire sauce, honey, garlic, salt, and pepper, until combined.
Either add the marinade to a bowl and mix with the chicken drumsticks or add it to a ziplock bag and add the chicken to it. Marinade both for at least 30 minutes or up to 4 hours.
Notes
TO STORE: Store unused marinade in an airtight container in the refrigerator for up to 3 days. Any used marinade needs to be discarded. TO FREEZE: Leftover marinade can be stored in a shallow container in the freezer for up to 1 month. Let it thaw overnight in the fridge before using.