In a large saute pan over medium-high heat, drizzle half of the sesame oil, then add the chicken. Stir and turn for about 3 minutes, until almost completely cooked.
Drizzle in the remaining oil and add the kale, carrot, kimchi, green onions and crushed red pepper.
Stir and turn for about 4 minutes more, until the kale is softened and the chicken is completely cooked.
Serve hot.
