Combine the green cabbage, red cabbage, shredded carrot, chopped green onions, and shredded chicken in a bowl.
Add the drained mandarin oranges or fresh mandarins.
Top with cilantro, sesame seeds, and almonds.
In a separate bowl, whisk together the rice vinegar, sesame oil, soy sauce, water, olive oil, ginger, garlic, and honey to make the dressing.
Drizzle the dressing over the salad and toss to coat.
