In a large bowl, combine the mixed salad greens, shredded chicken, carrots, bell pepper, cucumber, red cabbage, cilantro, and green onions. Toss gently to combine.
In a separate bowl, whisk together the peanut butter, soy sauce, honey, rice vinegar, lime juice, and sesame oil until smooth. If the dressing is too thick, add water one teaspoon at a time until desired consistency is reached.
Drizzle the peanut dressing over the salad and toss to coat evenly.
Serve immediately, or chill in the refrigerator for about 15-30 minutes to enhance flavors before serving.