Place the drumsticks in a large bowl. Drizzle with olive oil and season with paprika, Italian seasoning, garlic salt, and pepper. Toss until evenly coated.
Preheat the air fryer to 400°F. If your air fryer does not have a preheat setting, run it at 400°F for 5–7 minutes.
Arrange the drumsticks in a single layer in the air fryer basket. Cook in batches if necessary.
Air fry at 400°F for 10 minutes.
Flip the drumsticks and cook for another 10 minutes, or until the chicken reaches an internal temperature of 165°F.
If needed, continue cooking in 5-minute increments until the chicken reaches 165°F.