Prepare the chicken by shredding it if not already done.
Slice the avocado and squeeze lime juice over it to prevent browning.
Mix Greek yogurt with salt, pepper, and more lime juice if desired.
Lay out the tortillas on a flat surface.
Spread a layer of the Greek yogurt mixture on each tortilla.
Layer the shredded chicken, avocado, mixed greens, and cherry tomatoes on top of the yogurt.
Season with additional salt and pepper if desired.
Carefully roll up each tortilla tightly, tucking in the sides as you go.
Slice the wraps in half and serve immediately or refrigerate until ready to eat.