Combine chicken, shredded carrots, shredded cabbage, chopped green onion, and garlic cloves in a food processor.

Pulse until minced.

Stir in sesame oil, soy sauce, sesame sauce, ginger, salt, and pepper.

To assemble potstickers, place wonton wrappers on parchment paper.

Spoon a heaping teaspoonful of chicken mixture into the center of each wrapper.

Dip you finger into a small bowl of water, and run it around the edges of the wonton. Fold into a triangle, and seal the edges firmly.

In a large skillet over medium heat, melt the butter.

Add potstickers in a single layer, and saute until they're golden brown on each side, about 2 minutes. They brown quickly! They'll steam quickly inside, and they'll be quite hot after only 2 minutes of cooking on each side!