Due to arguments showing that angiogenesis could be involved in progression of metastatic thyroid carcinoma and to objective response during previous studies with sunitinib (an angiogenic oncology drug also known as Sutent), this study, THYSU, is justified to evaluate the efficacy of sunitinib in metastatic thyroid carcinoma. Furthermore, the standard treatment of metastatic thyroid carcinoma when a general treatment is to be prescribed is limited to radioiodine. When radioiodine becomes ineffective, there is no standard treatment despite some use of chemotherapy.