Dry the wings: Pat chicken wings completely dry with paper towels. Remove excess moisture for crispy skin. Separate wings at joints if not already split. Place in large bowl.
Oil and season: Drizzle olive oil over wings and toss until evenly coated. Combine paprika, garlic powder, onion powder, salt, black pepper, and cayenne in small bowl. Sprinkle seasoning over wings and toss thoroughly to coat all pieces.
Preheat air fryer: Set air fryer to 400°F and preheat for 3-5 minutes for best results.
First cook: Arrange wings in single layer in air fryer basket without overcrowding. Cook in batches if needed. Air fry at 400°F for 10 minutes.
Flip and finish: Open air fryer and use tongs to flip each wing. Return to air fryer and cook 10-12 minutes more until golden brown, crispy, and internal temperature reaches 165°F. Add 2-3 minutes for extra crispiness.
Rest and serve: Transfer wings to serving platter and rest 2 minutes. Garnish with fresh parsley. Serve immediately with ranch dressing, celery sticks, and carrot sticks.