Place the marinade ingredients in a large bowl: olive oil, lemon juice, garlic, salt, paprika, cardamom, cumin, cinnamon and crushed red pepper; and whisk to blend.
Add the chicken into the large bowl with the marinade and stir with a spoon to evenly coat the chicken with the marinade. Cover the bowl and place in the refrigerator to marinate for at least an hour or up to 24 hours.
Heat a large heavy bottomed skillet or cast iron skillet over medium high heat and add the marinated chicken to it. Cook, stirring occasionally until the chicken is cooked through, about 15 minutes.
Divide the salad ingredients into four bowls. Add the cooked chicken shawarma on top and drizzle with the tahini sauce and serve with fresh parsley.
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Notes
Storage: Store any leftover chicken shawarma in an airtight container for up to 3 days. Reheat in a skillet with a little water or in the microwave until heated throughMake ahead: You can make the marinade for the chicken up to 24 hours in advance to save time.