1. Preheat oven to 400 degrees Fahrenheit (200 degrees Celsius).
2. Sprinkle salt and pepper on each chicken steak. Smear tomato paste and basil on top. Place the chicken in a lined baking dish, then sprinkle with minced garlic, lemon zest, olives, and tomatoes. Drizzle balsamic vinegar on top.
3. Bake covered for one hour. Then raise the oven temperature to 450 degrees Fahrenheit (230 degrees Celsius) and bake uncovered for another hour.