Cogdill had his best season in 1962, catching 53 passes for 991 yards and seven touchdowns. He continued to develop a reputation for circus catches. Sports writer George Puscas later wrote about Cogdill's acrobatic catches and recalled: "He was the only football player I've ever seen who caused teammates to interrupt their own work to watch him do his." After the 1962 season, Cogdill received second-team All-NFL honors from the Associated Press (AP) and United Press International (UPI). He was also selected to play in the 1963 Pro Bowl.