**Prepare the Chicken Salad**
In a large mixing bowl, combine the shredded chicken, diced avocado, Greek yogurt, diced celery, chopped red onion, and fresh cilantro or parsley. Add lime juice, salt, and pepper. Mix gently until all ingredients are well combined. The avocado should be creamy enough to bind the salad together without the need for mayonnaise.
**Assemble the Wraps**
Lay a tortilla or wrap flat on a clean surface. Spread a layer of mixed greens or lettuce over the tortilla. Spoon a generous amount of chicken salad over the greens. If using, add slices of cucumber, tomatoes, or bell peppers for extra crunch and flavor.
**Roll the Wrap**
Carefully roll the tortilla around the filling, tucking in the ends as you roll to keep the filling contained. If the tortilla is stiff, you can warm it slightly in the microwave for 10-15 seconds to make it more pliable.
**Serve or Store**
Cut the wrap in half to serve immediately, or wrap tightly in plastic wrap or aluminum foil to store in the refrigerator. This makes it a convenient option for meal prep or packed lunches.