Whisk together olive oil, lemon juice, garlic, and all spices. It should smell bold enough to wake the neighbors.
Toss chicken in the marinade. Coat well. Let it marinate at least 30 minutes, or up to 4 hours in the fridge for deeper flavor.
Heat a heavy skillet over medium-high heat. A little smoke is a good sign. Add the chicken and sear 4–5 minutes per side until browned and cooked through.
Rest the chicken briefly, then slice into thin strips. If you’re feeling fancy, cut on an angle for more drama on the plate.
Warm the pitas briefly in the same pan or a separate toaster. Assemble by laying chicken, then toppings in the pita. Squeeze a little extra lemon if you’re feeling dramatic.