Drain the dill pickle chips and pat them dry with paper towels to remove excess moisture.
Set up your dredging station: place the white whole wheat flour in one bowl; whisk the egg and water in another; combine whole wheat breadcrumbs, panko breadcrumbs, paprika, Italian seasoning, kosher salt, and cayenne pepper in a third bowl.
Dip each pickle chip first into the flour, shaking off excess, then into the egg mixture, allowing excess to drip off, and finally coat with the breadcrumb mixture, pressing gently to adhere.
Preheat your air fryer to 400°F (200°C) for about 5 minutes.
Arrange the breaded pickles in a single layer in the air fryer basket. Air fry for 10-12 minutes, flipping halfway through, until golden brown and crispy.
Remove the pickles from the air fryer, sprinkle with additional kosher salt if desired, and serve immediately with Greek Yogurt Ranch Dip.