01 - In a large mixing bowl, add shredded chicken, buffalo wing sauce, mozzarella cheese, blue cheese (if using), chopped celery, green onions, garlic powder, and black pepper. Mix until fully incorporated.
02 - Place one egg roll wrapper on a clean surface with a corner facing you. 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 both sides, and roll up tightly. Brush the top corner with beaten egg and press gently to seal.
04 - Repeat the filling and rolling process with remaining egg roll wrappers and filling.
05 - Pour about 2 inches of vegetable oil into a heavy-bottomed pot or deep-fryer and heat to 350°F (175°F).
06 - Fry egg rolls in batches for 3 to 4 minutes each, turning as needed until golden brown and crisp. Transfer to paper towels to drain excess oil.
07 - Arrange fried egg rolls on a serving platter and serve warm with ranch or blue cheese dressing for dipping.