Edgar A. Sherman (July 13, 1912 – September 29, 2009) was an American football player and coach.

He served as the head football coach at Muskingum College from 1945 to 1966, compiling a record of 141–43–7, a winning percentage of .757.

He also coached the Muskingum track team and had a record of 111–21 in dual meets.

In 1982, he received the Corbett Award honoring his work as a college director of athletics.

Sherman was inducted into the College Football Hall of Fame as a coach in 1996.