Assemble. To the warm flatbreads, add the sliced or chopped yogurt-marinated chicken (or grilled chicken) first to create a barrier so the flatbread doesn’t get soggy from the salad dressing. Add the Greek salad, draining excess liquid, and wrap the flatbread around the fillings. Serve immediately so the flatbreads don’t get soggy from the salad. If you have extra salad, you could serve it on the side.