In a small bowl, whisk together peanut butter, soy sauce, lime juice, honey, rice vinegar, minced garlic, grated ginger, red pepper flakes, and water until smooth. If you like a richer sauce, whisk in sesame oil.
Prepare the fillings: shred the chicken, chop the cilantro, and have the lettuce, cabbage, carrot, and cucumber ready. Lay out the tortillas on a clean surface.
To assemble, place a handful of greens on each tortilla. Add a layer of chicken, then a sprinkle of cabbage, carrot, cucumber, and cilantro. If you’re keeping it crunchy, sprinkle crushed peanuts on top.
Drizzle a generous spoonful of the Thai peanut sauce over the fillings. Roll the tortilla tightly, tucking in the sides as you go.
If you’re enjoying immediately, slice the wrap in half and serve with extra sauce on the side. For meal prep, wrap each wrap in foil or parchment and refrigerate for up to 2 days.