Preheat your air fryer to 400ºF (204ºC) for 5 minutes.
Prepare the spice blend. Mix the olive oil, smoked paprika, garlic powder, onion powder, salt, and black pepper in a bowl.
Season the chicken. Pat the chicken leg quarters dry with paper towels to remove excess moisture. Brush the spice mixture on the chicken leg quarters, ensuring they’re evenly coated.
Air fry the BBQ chicken leg quarters. Place the chicken quarters in the air fryer in a single layer. Air fry for 20 minutes at 400ºF (204ºC).
After 20 minutes, baste the chicken leg quarters with barbecue sauce. Flip the chicken, and brush the other side with more BBQ sauce. Continue air frying for 5 - 10 minutes.
Check the internal temperature of the chicken with a meat thermometer. Ensure it reaches a minimum of 165ºF (74ºC) to guarantee they're fully cooked. Otherwise, increment the cooking time by 3 until it reaches the safe temp.
Once cooked, remove them from the air fryer. Then, let the chicken rest for a couple of minutes before serving.
Serve and enjoy your irresistibly delicious air fried BBQ chicken leg quarters with your favorite side dishes!