In a bowl or a large Ziploc bag, add the olive oil, water, lemon juice, cumin, paprika, allspice, garlic powder, turmeric, salt, cinnamon, cayenne (optional) and black pepper. Add the chicken. Cover or seal and marinate for at least 20 minutes (marinate overnight for fullest flavor)
Prepare the garlic yogurt sauce by combining all of the ingredients in a small bowl and stirring well. Store in the refrigerator until ready to use.
If grilling, heat the grill or grill pan to medium high.
Grill the chicken for about 8-10 minutes per side or until lightly charred and cooked through, turning once. Remove the chicken from the grill and let it rest, covered for 5 minutes. Slice.
If baking, preheat oven to 400 degrees Fahrenheit, place the chicken into a baking dish and bake in the oven for about 35 -45 minutes or until cooked through. Remove chicken from the oven and let it rest covered for about 5 minutes. Slice.
To Serve: Slice the chicken and put it on a plate with the flatbread, veggies and yogurt sauce.
To Make a Wrap: Warm up the flatbread (you can use the grill, grill pan, oven or toaster oven). Spread each piece of flatbread with hummus, top it with sliced chicken and veggies and drizzle it with the yogurt sauce. Top it with Feta cheese and parsley. Wrap and enjoy.