Stasavich was the head football coach at East Carolina from 1962 to 1969 and the athletic director from 1963 to 1975. During those eight years, Stasavich posted a 50–27–1 record. In 1963 East Carolina was 9–1 and recorded the program's first bowl game victory, against North Eastern in the Eastern Bowl. In 1964, Stasavich's team again posted a 9–1 record and beat UMass in the Tangerine Bowl, 14–13. The 1965 football season was a repeat of 1964's record and bowl appearance, except the Pirates won against Maine, 31–0, in the Tangerine Bowl. Also in 1965, Stasavich helped bring East Carolina into the Southern Conference. In 1969, Stasavich was the third-winningest active coach after Bear Bryant of Alabama and Johnny Vaught of Ole Miss.
Stasavich's love for the Southern Conference was honored when the conference named the football championship trophy the Clarence Stasavich Memorial Trophy. Stasavich was inducted into the North Carolina Sports Hall of Fame in 1970, the ECU Hall of Fame in 1976, the National Association of Directors of Athletics Hall of Fame in 1977, and the Florida Citrus Bowl Hall of Fame in 1986. Lenoir-Rhyne and the city of Hickory, North Carolina named one of the campus streets Stasavich Place in honor of his accomplishments. The street runs in front of the gymnasium and is the main entry to Helen and Leonard Moretz Stadium, the university's football facility.