Make the dressing: In a bowl, whisk together mayonnaise, rice vinegar, soy sauce, honey, sesame oil, sriracha, garlic, and ginger. Add a splash of water if you want a looser texture.
Taste and adjust salt, pepper, and heat.
Prep the slaw: In a large bowl, combine cabbage, carrot, bell pepper, green onions, and cilantro. Pour about two-thirds of the dressing over the veggies and toss until evenly coated. It should be glossy but not soggy.
Season the chicken: Toss the cooked chicken with the remaining dressing.
If your chicken is plain, a pinch of salt and pepper helps. Warm it briefly on the stove or in the microwave if you like it warm.
Warm the wraps: Heat tortillas in a dry skillet for 10–15 seconds per side or wrap them in a damp paper towel and microwave for 20–30 seconds. Warm wraps fold more easily and won’t crack.
Assemble: Lay a warm tortilla on a board.
Add a line of chicken down the center, top with a generous mound of slaw, and add avocado slices if using. Sprinkle with sesame seeds or peanuts for crunch.
Wrap it up: Fold the sides inward, then roll from the bottom up to form a tight wrap. If serving to-go, wrap in parchment or foil to hold everything together.
Serve: Slice in half for easier eating.
Add extra hot sauce or a squeeze of lime if you want more zing.