As coach Clarence Elmer Mitchell (February 22, 1891 – November 6, 1963) was an American Major League Baseball pitcher.

He played in the majors from 1911 to 1932 for the Detroit Tigers, Cincinnati Reds, New York Giants, Brooklyn Robins, Philadelphia Phillies and St. Louis Cardinals.

On October 10, 1920, in Game 5 of the 1920 World Series, Mitchell made history when, with men on first and second and no outs, he hit a rising liner that Cleveland Indians second baseman Bill Wambsganss caught.

Wambsganss was able to double up the lead runner, Pete Kilduff, who was still running toward third, then tagged out Otto Miller, who had come down from first base.

In his next at bat, Mitchell hit into a double play, making him responsible for five outs in two consecutive trips to the plate, another World Series record.