Using a hand mixer, whip the cream cheese until free of lumps. Stir the green onions into the cream cheese.
Once the mushrooms and onions are cooled completely, gently fold into the cream cheese mixture.
Place one eggroll wrapper on a cutting board. Position 3 tablespoons of the mushroom and cheese mixture in the middle of the wrapper.
Using only lukewarm water, dip your finger into the water and run it gently along two sides of the eggroll wrapper. This helps to seal it.
Fold over one corner to meet with the opposite corner. Use the back of a fork to gently press and seal all the way around the pocket.
Set all pockets aside and cover loosely with a damp towel.
Bring your cooking oil to the right temperature according to your fryer. If not using a deep fryer, pour the oil into a large, deep skillet. Turn the heat to medium and wait until the oil is heated.