The Kansas City, Kansas native graduated Washington High School. After graduating from the University of Kansas in 1971 he began his coaching and teaching career back in KCK at Argentine High School. Gleichman served as an assistant football coach at Argentine and then Harmon before moving to Sumner in 1980.
After one year as an assistant coach at Sumner he was named the head coach. He held that position from 1981-2005. He then returned to the Sumner staff in 2007 serving as the defensive coordinator until 2013.
His teams won two district titles and two conference championships during his time. Coach Gleichman led Sumner for 24 seasons and in that time 64 players received scholarships to play college football. He also coached in a Kansas Shrine Game, a Big Brothers/Big Sisters All-Star Game and a GKCFCA Kansas vs. Missouri all star game.