Heat enough vegetable shortening or oil to fill 2 to 3 inches in a medium pot to 350 degrees F. If you have an electric fryer, you can use that.
In a small bowl beat together the cream cheese and scallions. If desired a touch of garlic powder may be added for additional flavor. Spoon about 1 teaspoon of cream cheese mixture onto a wonton wrapper. Fold the wonton by brushing a little water over all of the edges of the wonton skin. Fold the wonton diagonally into a triangle. Be sure to seal all of the edges completely; this will keep the filling from running out of the wonton when being cooked. Take the two opposite corners and press and twist them together. You may need to tack them together by brushing with a little water.
When the shortening is heated, you can use a thermometer and test to see that it is 350 degrees F, or you may test with a small piece of wonton wrapper. If the wrapper bubbles immediately when dropped into the hot fat, it is ready. Drop only 4 or 5 pieces at a time into the hot fat. After about 1 minute, the wonton will begin to brown, then it will brown rapidly, so be careful to remove it when it is lightly browned. If your oil is shallow, you may need to flip over the wonton. Carefully remove the wontons and drain briefly on paper towels before serving.