Saute mushrooms with ½ tsp oil until golden, remove from skillet.
Add cabbage and carrot to saucepan, cover with water. Bring to a boil, cook 2-3 minutes until cabbage becomes tender. Drain water and squeeze excess water.
In a bowl, combine the ground pork, sauteed mushrooms, cabbage, carrot, green onion, garlic, salt, and pepper.
Lay out won top wrappers on the surface. Spoon filling into the center of the wrapper. Using fingers, moisten edges of wrappers with water.
Fold dough over to create a triangle, pinching edges to seal. Lightly push down on the filling to distribute filling for even cooking.
In a small sauce pan, bring the soy sauce, sesame oil, sugar, ginger and water to a boil and remove and add to a bowl.
Add enough oil to cover the bottom of the non-stick pan, heat oil over medium heat. Cook potstickers in a single layer until golden crisp, about 2 – 3 minutes on either side. Enjoy with dipping sauce.