Start by patting the chicken drumsticks dry with paper towels. Removing excess moisture is the secret to getting crispy skin. Place the drumsticks in a large bowl and drizzle with olive oil. In a small ramekin, mix the paprika, garlic powder, onion powder, salt, and pepper. Sprinkle the seasoning over the chicken and toss until every piece is evenly coated.
Preheat your air fryer to 400°F (200°C) for about 3 minutes. Arrange the seasoned drumsticks in the air fryer basket in a single layer, making sure they are not touching. Cook for 10 minutes. This initial high-heat blast renders the fat and begins to crisp the skin.
Open the air fryer and use tongs to flip each drumstick over. This ensures even browning on all sides. Continue air frying at 400°F for another 10 minutes. At this point, the chicken should be golden brown and the internal temperature should be reaching 160°F.
Use a pastry brush to coat each drumstick generously with BBQ sauce. Return the basket to the air fryer and cook for an additional 2 to 3 minutes. This final step allows the sugars in the sauce to caramelize and become sticky without burning the chicken. The final internal temperature should be 165°F.