Clarence O. Applegran (November 6, 1893 – May 6, 1960) was an American basketball coach. He was the head coach of the Kentucky Wildcats men's basketball team of the University of Kentucky in 1924–1925, and compiled a 13–8 record. Applegran attended the University of Illinois and played football and basketball. During the 1919 season, Applegran earned All-American honors as a guard for the Fighting Illini football team. He later played professional football for the Detroit Heralds for the 1920 season before beginning his coaching career.