In a small pot, melt the butter.
Whisk in the hot sauce and the cream cheese, heating until the cream cheese is soft and starting to melt.
Place the shredded chicken in a large bowl and add the melted butter mixture, stirring to coat all the chicken.
Add 2-3 tablespoons of the chicken mixture to the centre of egg roll wrappers.
Fold the wrappers over the chicken mixture by folding in two corners to meet in the centre, then fold up the bottom corner, and roll to form an egg roll.
Heat oil in a large pot to 350℉ to 375℉.
Cook 3-4 egg rolls at a time until golden, about 3 minutes, turning to brown all sides.
Remove from oil, and place on a rack or paper towel-lined tray.
Repeat with remaining egg rolls.
Serve hot with ranch or blue cheese dressing.