Combine all the ingredient for the dressing in a bowl. Whisk until well combined. Or you can put all the ingredients in a jar with a good lid. Then shake, shake, shake until it's well mixed. Set aside.
In a big bowl, add the shredded napa cabbage, purple cabbage, and carrots. Then add the green onions and cilantro on top. Add the chicken. Then gently mix everything until evenly combined.
Right before serving, add the dressing and mix, mix, mix. Note: don't add all the dressing at once. Add half of the dressing, and then taste and decide if you need more. If you have extra dressing, great. Save it for another salad.
Top with the wonton chips / strips. And serve! Eat and enjoy ^_^