American Red Cross 2100 Center Rd, Avon, OH44011 The American Red Cross in Avon is on Route 83 near the Detroit Road intersection. It is conveniently situated near…More I-90. This location is a blood donor center. The American Red Cross is the largest single supplier of blood in the United States. They collect and process more than 40 percent of the blood supply and distribute it nationwide. Their mission is to help people in times of emergency and disaster.