In a large bowl, combine the mixed salad greens, shredded chicken, carrots, red bell pepper, cucumber, red onion, and cilantro. Toss gently to mix.
In a separate bowl, whisk together the peanut butter, soy sauce, honey, rice vinegar, lime juice, sesame oil, minced garlic, and grated ginger until smooth. If the dressing is too thick, add a little water to reach your desired consistency. Season with salt and pepper to taste.
Drizzle the dressing over the salad and toss until everything is well coated.
If using, sprinkle chopped peanuts on top for added crunch.
Serve immediately or chill in the refrigerator for about 30 minutes to let the flavors meld before serving.