Place the drumsticks in a large mixing bowl, drizzle with the olive oil and season with the paprika, Italian seasoning, garlic salt and pepper. Stir to thoroughly coat the drumsticks in the seasoning.
Preheat the air fryer at 400 degrees F. If your air fryer doesn't have a preheat option, run the air fryer for 5-7 minutes at 400 degree F.
Place the drumsticks in the air fryer basket in a single layer (you may have to cook in batches depending on the size of your air fryer). Cook for 10 minutes at 400 degrees F.
Flip the drumsticks and then cook for another 10 minutes at 400 degrees F until the chicken has reached an internal 165 degrees F. If the chicken has not reached this temperature internally then continue to cook in 5 minute increments until the chicken has reached 165 degrees F.