Cook the chicken breasts by poaching in simmering water for 12-15 minutes or until the internal temperature reaches 165 degrees Fahrenheit.
Remove chicken from liquid, allow to cool slightly, and shred using two forks or a stand mixer.
In a small mixing bowl, whisk together the rice vinegar, soy sauce, toasted sesame oil, honey, grated ginger, and minced garlic until emulsified.
In a large bowl, combine the shredded Napa cabbage, red cabbage, carrots, edamame, cilantro, and green onions.
Add the shredded chicken to the vegetable base and toss thoroughly.
Pour the dressing over the salad and toss until all components are evenly coated.
Divide into four airtight containers and top with toasted sliced almonds immediately before consumption to maintain texture.