Preheat the oven to 350 degrees F (175 degrees C). Spray a 9x13-inch baking dish with cooking spray.
Combine chicken and Buffalo wing sauce in a bowl.
Combine hash browns, cream of celery soup, blue cheese dressing, celery, and Cheddar cheese in another bowl. Transfer to the prepared baking dish. Place chicken on top in a single layer. Cover with aluminum foil.
Bake in the preheated oven for 30 minutes. Remove foil and continue baking until chicken is no longer pink in the center, 25 to 30 minutes more.