Prepare the dressing by whisking together the rice vinegar, soy sauce, honey, toasted sesame oil, grated ginger, minced garlic, and vegetable oil in a medium bowl until fully emulsified.
In a large mixing bowl, combine the shredded Napa cabbage, red cabbage, julienned carrots, green onions, and chopped cilantro.
Add the shredded cooked chicken to the vegetable base and toss gently to distribute.
Pour the dressing over the salad components and toss thoroughly until all ingredients are evenly coated.
Garnish with toasted sliced almonds and crispy wonton strips immediately before serving to ensure maximum crunch.
Serve chilled or at room temperature.