Foods that are good for the thyroid gland and should be added for a normal thyroid function will likely be among some of your favorites. Most people love strawberries. Strawberries are rich in Vitamin C, but did you know that they also contain iodine.ogurt is rich in calcium and it also contains iodine. There you have two sources that not only taste great together, but they are among the good foods for thyroid. By eating just a cup of each, you will be providing your body and thyroid with approximately 100 micro grams of iodine.