Heat olive oil in a large skillet over medium heat. Cook and stir chicken, onion, and garlic in hot oil until the chicken is no longer pink in the center, about 15 minutes.
Stir garbanzo beans, diced tomatoes with juice, vegetable broth, artichoke hearts, carrot, olives, sugar, lemon juice, salt, coriander, and cayenne pepper into the chicken mixture; bring to a boil, reduce heat to low, and simmer until vegetables are tender, about 30 minutes.
