Mix the Greek yogurt, ranch seasoning, and buffalo sauce together in a large bowl.
Add the pulled rotisserie chicken, coleslaw mix, and cheese to the bowl and toss everything together until evenly coated.
Wrap the tortillas in damp paper towel and microwave for 20 seconds.
Add your choice of greens to a tortilla, followed by the chicken mixture, and more greens before tightly wrapping. Ensuring the creamy chicken filling is sandwiched between the greens will prevent the tortillas from getting soggy.
Slice the wraps in half with a sharp knife and serve. You can use toothpicks to seal for easier serving, if desired.