Place the shredded or chopped cooked chicken in a large bowl.
Add the buffalo sauce and toss until the chicken is fully coated; if using hot sauce, mix 1/3 cup hot sauce with 2 tablespoons melted butter first.
Lay out the four flour tortillas on a clean surface and divide the buffalo chicken evenly among them.
Top each portion with shredded lettuce and a drizzle of ranch or blue cheese dressing, plus any optional fillings like tomato, onion, or shredded cheese.
Fold in the sides of each tortilla and roll tightly burrito-style to form wraps.
Serve immediately warm or chilled.