01 - Combine shredded chicken breast, buffalo wing sauce, mozzarella cheese, blue cheese if using, celery, green onions, garlic powder, and black pepper in a large mixing bowl. Stir thoroughly to ensure even distribution.
02 - Place one egg roll wrapper on a clean work surface with a corner facing you. Spoon 2 to 3 tablespoons of the prepared filling onto the center of the wrapper.
03 - Fold the bottom corner of the wrapper over the filling, then fold in the sides. Roll up tightly and brush the top corner with beaten egg to seal.
04 - Continue assembling remaining egg rolls until all filling and wrappers are used.
05 - In a deep-frying pot, preheat 2 inches of vegetable oil to 350°F (175°F). Use a thermometer for accuracy.
06 - Carefully add egg rolls in batches to the hot oil. Fry for 3 to 4 minutes per batch, or until the exterior is golden brown and crisp. Turn as needed for even cooking.
07 - Transfer fried egg rolls to a paper towel-lined plate to drain excess oil. Serve warm with ranch or blue cheese dressing for dipping.