In a large mixing bowl, combine shredded chicken, olive oil, lemon juice, dried oregano, salt, and pepper. Mix until the chicken is evenly coated and allow this mixture to sit for a few minutes.

Take your whole-wheat wraps and place them on a clean surface. Generously spread a layer of Greek yogurt over each wrap to enhance flavors.

Layer the diced cucumbers, halved cherry tomatoes, and minced red onions on top of the yogurt. Sprinkle crumbled feta cheese over the top.

Spoon the chicken mixture down the center of each wrap, leaving space on the sides for easy rolling.

Starting from one edge, carefully roll the wrap tightly, tucking in the sides to secure the filling as you go.

Once rolled, slice each wrap in half diagonally for an appealing presentation.

Serve immediately for the best texture or wrap in parchment paper for a convenient on-the-go meal.