In a bowl, whisk together peanut butter, soy sauce, brown sugar or honey, rice wine vinegar, minced garlic, minced ginger, and sriracha sauce. Add water if needed to thin the dressing.
In a large bowl, combine chopped chicken, coleslaw mix, grated carrot, cilantro, and peanuts.
Pour the dressing over the chicken mixture and toss to coat evenly.
Divide the mixture among tortillas and wrap tightly.
Notes
For extra crunch, add more peanuts or serve with lime wedges.