Place the chopped lettuce, 1/4 cup parmesan cheese (if using), and croutons (if using) in a medium to large bowl. If you're using avocados instead of parmesan, save them for later.
Add 1/2 cup caesar salad dressing to the lettuce and toss to combine.
Divide the lettuce mixture equally between your tortillas, leaving about an inch of room around the edges. If you hold your wrap like a taco (with both sides open) you can probably fit everything on 4 small (6 inch) tortillas or three large (8 inch) tortillas. If you hold your wrap like a burrito (with the ends folded) you'll probably need 5 small tortillas or 4 large ones.
Top the lettuce with the diced or shredded chicken chicken, remaining parmesan cheese, and avocado slices (if using).
Drizzle the remaining caesar dressing over the wraps and then roll them up. Enjoy!