In a small bowl, mix the first six ingredients. In a large bowl, combine the first nine pot sticker ingredients. Add chicken; mix lightly but thoroughly. Place 1 tablespoon filling in center of each wrapper. (Cover remaining wrappers with a damp paper towel until ready to use.)
Moisten wrapper edges with water. Fold wrapper over filling; seal edges, pleating the front side several times to form a pleated pouch. Stand pot stickers on a work surface to flatten bottoms; curve slightly to form crescent shapes, if desired.
In a large nonstick skillet, heat 1 tablespoon canola oil over medium-high heat. Arrange a third of the pot stickers in concentric circles in pan, flat side down; cook 1-2 minutes or until bottoms are golden brown. Carefully add 1/3 cup water (water may splatter); reduce heat to medium-low. Cook, covered, 4-5 minutes or until water is almost absorbed and filling is cooked through.
Cook, uncovered, until bottoms are crisp and water is completely evaporated, about 1 minute. Repeat with remaining pot stickers.
Sprinkle with green onions and sesame seeds before serving. Serve with sauce.
Editor's Note: Wonton wrappers may be substituted for pot sticker and gyoza wrappers. Stack two or three wonton wrappers on a work surface; cut into circles with a 3-1/2-in. biscuit or round cookie cutter. Fill and wrap as directed.
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