Prepare the marinade by combining the spices and olive oil in a bowl.
Add the chicken thighs to the marinade and coat well. Let sit for at least 30 minutes.
Preheat your grill or skillet over medium-high heat.
Cook the marinated chicken for about 6-8 minutes per side, or until fully cooked.
Remove the chicken from the heat and let it rest for a few minutes before slicing it thinly.
Prepare your pita or flatbreads by warming them on the grill or in a pan for a few moments.
Assemble the wraps by adding the sliced chicken, lettuce, tomato, cucumber, and your choice of sauce.
Wrap the pita tightly and secure with a toothpick if necessary, then serve immediately.