Whisk together all marinade ingredients.
Cut chicken into thin strips or leave whole.
Add chicken to marinade. Toss to coat completely.
Cover and refrigerate at least 2 hours or overnight.
Remove from fridge 15 minutes before cooking.
Heat 2 tablespoons olive oil in large skillet over medium-high heat.
Remove chicken from marinade. Let excess drip off.
Add to hot pan in single layer. Do not overcrowd.
Cook 5 to 6 minutes without moving until golden and charred.
Flip. Cook 5 to 6 more minutes until cooked through.
Transfer to cutting board. Rest 5 minutes.
Slice into strips if cooked whole.
Warm pita bread.
Fill with chicken, vegetables, and sauce. Serve.