Referee Calum Murray sent the South Korean off in the first half of the 3-2 Clydesdale Bank Premier League defeat for hauling back Rangers midfielder Lee Wallace at the edge of the box, deeming it to be an obvious goalscoring opportunity.
A Fast Track Tribunal at Hampden on Thursday morning rejected Cha's appeal and a one-match suspension has been imposed with immediate effect which means he misses the visit of St Johnstone on Sunday.
Source: PA
Source: PA