Prep the chicken: If using rotisserie chicken, remove the skin and shred the meat. For cooked breasts or thighs, chop or shred into bite-size pieces.
Slice the veggies: Shred the cabbage, julienne the carrots, and slice the bell pepper, cucumber, and green onions.
Chop the cilantro.
Make the dressing: In a bowl, whisk peanut butter, soy sauce, lime juice, rice vinegar, honey, garlic, ginger, sesame oil, and sriracha. Add warm water, a tablespoon at a time, until smooth and pourable. Taste and adjust sweet, salty, or spicy elements.
Toss the base: In a large bowl, combine cabbage, carrots, bell pepper, cucumber, and green onions.
Add about half the dressing and toss to coat.
Add the chicken: Fold in the chicken and most of the cilantro. Add more dressing until everything is lightly coated but not soggy.
Finish and serve: Top with chopped peanuts, remaining cilantro, and sesame seeds. Serve right away with lime wedges on the side.
Optional protein boost: Add edamame or sliced avocado on top for extra creaminess and nutrition.