01 - In a mixing bowl, combine plain yogurt, olive oil, minced garlic, cumin, coriander, smoked paprika, turmeric, cinnamon, salt, black pepper, and lemon juice. Add the chicken strips and toss to coat evenly. Cover and refrigerate for at least 20 minutes, or up to overnight for deeper flavor penetration.
02 - Heat a large skillet or grill pan over medium-high heat. Remove the chicken from the marinade, allowing excess to drip off, and arrange in a single layer. Cook for 6 to 8 minutes per side until fully cooked through with a lightly charred exterior. Transfer to a plate and rest for 2 minutes.
03 - In a small bowl, whisk together mayonnaise, Greek yogurt, minced garlic, lemon juice, and salt until smooth and well combined. Set aside.
04 - Warm each flatbread or pita in a dry skillet over medium heat for about 30 seconds per side, or until pliable and lightly toasted.
05 - Spread a generous layer of garlic sauce across each warmed flatbread. Layer with cooked chicken strips, sliced tomato, red onion, cucumber strips, shredded lettuce, and chopped parsley.
06 - Fold in the sides of each flatbread and roll tightly into a wrap. Slice diagonally in half and serve immediately.