Combine the ground chicken, cabbage, green onions, sesame oil, and ginger in a bowl. Mix until everything is evenly distributed.
Fill a small bowl with water. Dip your finger in the water and wet the outside of one gyoza wrapper. Scoop about 1 tbsp of the meat mixture onto the wrapper.
Starting on the right side, pinch a small section of the wrapper together. Fold the top layer over on itself, pressing it down and sealing it with the bottom layer (watch my video above for a visual). Continue until the entire wrapper is folded and sealed. Continue until the meat is all used.
Add several dumplings to a large pan with oil over medium high heat. Let them cook for 2-3 minutes until the bottom of each is starting to brown. When they are golden brown, turn the heat down to medium low and add 1/4 cup of water.
Put a lid on the pan and let the dumplings cook for 7-8 minutes, until the meat is cooked through. Check the dumplings half way through the cooking time. If the water has all cooked up, add a few tablespoons more.
Once the gyoza are finished, enjoy them while they are hot!