Preheat the oven to 450°F (232°C).
In a large bowl or resealable plastic bag, combine yogurt, lemon juice, minced garlic, coriander, cumin, cardamom, smoked paprika, cayenne, salt, black pepper, and olive oil to make the marinade.
Add the chicken thighs to the marinade and mix or massage until each piece is fully coated; marinate briefly while the oven heats (or up to a few hours in the refrigerator if desired).
Arrange the marinated chicken in a single layer in a large baking dish or sheet pan, leaving space between pieces for even browning.
Bake uncovered for 30–35 minutes, or until the chicken is browned at the edges and cooked through (internal temperature 165°F / 74°C).
Remove from the oven and let the chicken rest for 5–10 minutes, then slice or chop into strips.
Serve the sliced chicken in pita bread with shawarma white sauce, lettuce, and onions, or add to a salad.