Acute type A aortic dissection (AAAD) is a surgical emergency that carries a grave prognosis if not diagnosed early and treated rapidly. The standard of care for patients presenting with AAAD is median sternotomy and open surgical repair of the ascending aorta. However, many patients with AAAD are determined to be too high-risk for open surgery due to malperfusion, shock, advanced age, or severe comorbidities. Inoperable patients are traditionally managed medically and experience high mortality. In recent years, the use of Thoracic Endovascular Aortic Repair (TEVAR) as an endovascular option for otherwise inoperable patients has been reported by several major aortic centers across the globe. Operative mortality in patients receiving TEVAR for AAAD is superior to conservative medical management only. Long-term follow-up data is limited, but early case series have reported positive outcomes, favorable aortic remodeling, and few complications. The anatomic features of the ascending aorta and lack of a commercial graft designed specifically for deployment in this area are the major challenges to this treatment approach. In this review article, we summarize the current state of ascending TEVAR for AAAD repair, explain our own methodology for patient selection and surgical technique, and discuss the future direction of endovascular repair of AAAD in "inoperable" patients.