Prepare Cucumber Water: Place the cucumber slices in the water and allow to infuse in the refrigerator until ready to serve. Serve over ice if desired.
Preheat an air fryer. Soak the fries in water for 10 minutes then drain. Add to the airfryer basket and cook for 20 - 22 minutes tossing about half way through until golden brown and crispy. Refer to the instructions in the air fryer manual.
In a large bowl, combine Greek yogurt, fresh lemon juice, minced garlic, olive oil, dried oregano, dried thyme, paprika, salt, and pepper.
Cut chicken breasts into 1-inch cubes and add to the marinade. Toss to coat all chicken pieces evenly. Cover and place in the fridge to marinate for 20 minutes or longer if preferred.
Make Tzatziki sauce: Add the cucumber, yogurt, garlic, olive oil, vinegar, dill, and salt to a blender or food processor. Blend until smooth. Add more salt to taste. Set aside in the refrigerator.
Preheat the grill or grill pan on medium-high heat and drizzle with oil.
Gril the chickenl, turning on all sides for about 8 - 12 minutes or until chicken is fully cooked (160°F / 71C).
Warm the flour tortillas in a dry skillet over low heat for about 30 seconds per side, or wrap them in a damp paper towel and microwave for 15 - 20 seconds.
Place the chicken pieces on top of the tortilla. Top with sliced onion, tomato, and feta.
Plate the Greek chicken souvlaki wraps with a side of crispy fries and a small bowl of ketchup for dipping. Enjoy your delicious, flavorful meal!