You can also bake these Mediterranean chicken skewers in the oven. Preheat the oven to 425 F. Place chicken skewers on racks over two foil-lined baking sheets and bake for about 10-15 minutes, turn over once and bake for another 10 - 15 minutes on the other side, or until they are baked through. These Mediterranean Chicken Kabobs are so tender and flavorful. Both chicken and veggies are marinated and the flavors are rich and savory!