Thoracic endovascular aortic repair (TEVAR) has rapidly become a viable and accepted treatment option for atherosclerotic aortic aneurysms as well as a variety of other aortic pathologies including ulcers, dissection, coarctation and disruption. Left subclavian artery (LSA) coverage is often necessary to achieve proximal seal in up to 40% of patients treated with TEVAR. The management of the LSA in this cohort of patients remains controversial. Studies in support of routine pre-operative LSA revascularization show that coverage of the LSA during TEVAR is associated with an increased risk of stroke, paraplegia and arm ischemia. Other studies show that intentional coverage of the LSA without revascularization is not associated with increased morbidity and lends support to those who advocate more selective LSA revascularization during TEVAR (i.e. in those patients with patent LIMA-coronary bypass, dominant or isolated left vertebral artery, or a functioning left upper extremity (LUE) dialysis arteriovenous fistula). This paper is intended to review the literature comparing routine and selective LSA revascularization after TEVAR to determine the best management strategy.