This single arm Phase II trial will assess the best overall response associated with enzalutamide in patients with AR-positive salivary cancers. Given that this will be one of the first prospective studies ever conducted for AR-positive salivary cancers, and there are currently no standard therapies known to be effective for this disease, the investigators will adopt a best overall response (BOR) of 5% as the null hypothesis and BOR of 20 % as the alternative hypothesis. In addition to response, this study will also evaluate the progression-free survival (PFS), overall survival (OS), adverse events, and will also try to identify molecular predictors of response by examining genomic and transcriptional elements of androgen receptor biology.