Combine soy sauce, honey, and sesame oil in a bowl to create a marinade. Add chicken breasts and marinate for at least 15 minutes.
Dip each piece of marinated chicken into beaten egg, then coat with panko breadcrumbs.
Air fry at 375°F for about 12–15 minutes until golden brown and fully cooked. Slice chicken into strips.
Whisk together all dressing ingredients until well combined.
In a large bowl, toss together mixed greens, red cabbage, carrot, cucumber, cilantro, and green onions.
Add sliced chicken on top along with crispy wonton strips and almonds.
Drizzle dressing over salad just before serving and toss lightly to combine.