If using raw chicken, season with salt and pepper, then heat a grill pan or skillet over medium heat. Cook the chicken for about 6-7 minutes per side until fully cooked. Allow it to cool before shredding.
In a large mixing bowl, combine the mixed greens, sliced red bell pepper, shredded carrots, sliced cucumber, and shredded red cabbage.
In a smaller bowl, whisk together the peanut butter, soy sauce, rice vinegar, honey, sesame oil, lime juice, grated ginger, minced garlic, and water. Adjust the water amount to reach the desired dressing consistency.
Add the shredded chicken to the large salad bowl and toss gently to mix all the ingredients.
Drizzle the peanut dressing over the salad and toss to coat the salad evenly.
Serve the salad on individual plates, and garnish with chopped fresh cilantro and peanuts.