01 - Combine shredded chicken, buffalo wing sauce, mozzarella, blue cheese, celery, green onions, garlic powder, and black pepper in a mixing bowl. Stir until evenly blended.
02 - Lay one egg roll wrapper on a clean surface in a diamond shape. Spoon 2 to 3 tablespoons of the chicken mixture onto the center of the wrapper.
03 - Fold the bottom corner over the filling, fold in the sides, and roll tightly. Brush the upper corner with beaten egg to seal. Repeat with remaining wrappers and mixture.
04 - Pour vegetable oil into a deep-frying pot to a depth of 2 inches. Heat oil to 350 degrees Fahrenheit.
05 - Working in batches, fry egg rolls for 3 to 4 minutes or until golden brown and crispy. Turn as needed for even cooking, then transfer to paper towels to drain.
06 - Enjoy warm with ranch or blue cheese dressing.