To assemble the cheese sticks, place one of the halved cheese sticks on top of a wonton wrapper. Dip your finger in water and run it along the edges of the wrapper. Working away from you, fold the wonton wrapper over the cheese, fold the ends over the end of the cheese, continue rolling the cheese in the wrapper and fold the ends to close. Repeat with remaining ingredients, until you've made 10 cheese sticks.

Heat oil in a pan over medium heat to 350 degrees. Fry sticks, in batches if necessary, until golden brown, about 2 minutes. Transfer to a paper towel lined plate. Sprinkle with salt. Serve immediately.