Working with 1 gyoza skin at a time (cover remaining skins to prevent drying), spoon 1 scant tablespoon pork mixture into center of each skin. Moisten edges of skin with water. Fold in half, pinching edges together to seal.
Place on a baking sheet in a single layer (cover loosely with a towel to prevent drying). When all skins are filled, remove towel and cover with plastic wrap; freeze until firm.
Place in zip-top plastic bags, and freeze for up to 3 months.
Arrange the frozen pot stickers in a single layer on a baking sheet; cover with plastic wrap, and thaw in refrigerator overnight.
Heat peanut oil in a large nonstick skillet over medium heat. Arrange pot stickers in pan in a single layer; cook 2 minutes or until browned on bottom.
Add 1 cup water to pan; cover and cook 5 minutes. Uncover and cook until liquid evaporates, about 2 minutes.