Greenwich Hospital in Greenwich, Connecticut, is a community hospital serving people in lower Fairfield County and lower Westchester County New York. A member of Yale New Haven Health System, Greenwich Hospital is a teaching institution In the fiscal year of 2016, the hospital reported 13,077 inpatient and 280,635 outpatient discharges. [2] The hospital's emergency department handled 43,248 patient visits in 2017.[2]