- Combine soy sauce, orange juice, oil, lime juice, zest, oregano, cilantro, cumin, garlic, and red pepper flakes in a food processor and pulse until thoroughly combined. Blot chicken drumsticks dry with paper towel and place in a medium glass dish. Pour marinade over drumsticks to coat. Cover and refrigerate for 1-6 hours.
- Heat a medium cast-iron grill pan or outdoor grill over medium-high heat and grease with vegetable oil. When grill is heated, place drumsticks on and grill for 20-25 minutes, (or until internal temperature reaches 165ºF) turning halfway through cooking. Serve hot.