Heat the oven to 425°F and coat a 9-by-13-inch baking dish with cooking spray.
Add the chicken, zucchini, chickpeas, tomatoes, lemon juice, oregano, salt and black pepper to the dish.
Toss until evenly seasoned and spread the chicken in a single layer among the vegetables.
Bake uncovered for 30 minutes, then stir the vegetables and turn the chicken pieces.
Scatter the feta over the dish and bake for 10 to 15 minutes more, until the chicken reaches 165°F and zucchini is tender but intact.
Rest for 5 minutes before serving with the tomato juices from the bottom.