The charge is contained in the filing on behalf of 13 U.S. short track skaters seeking to have coach Jae Su Chun dismissed from his job as head coach of the national team. They allege that Chun allegedly asked Cho to sabotage a Canadian skater. Chun has yet to respond to the allegations in the request for arbitration document filed Tuesday.
Speed Skating Canada said Thursday that it was aware of the tampering allegation and it would have no comment until the issue has been resolved in court.
According to the filing, Cho later told a teammate in a written message, "It is my darkest secret and I regret it."
Cho won a bronze medal in the 2010 Vancouver Olympics.
U.S. Speedskating suspended Chun last weekend, pending the results of an investigation by a law firm into charges of abuse against the coach filed last week by more than a dozen skaters.
The arbitration document alleges Chun asked Cho to tamper with the skates of Canadian Oliver Jean before the final of the 5,000-meter relay. Canada was only able to field three skaters in the relay because of a problem with Jean's blades.
According to the arbitration document, on the plane trip home from the world meet in March 2011 in Warsaw, Poland, Cho told a fellow U.S. skater he had tampered with the blades.
In July 2012, Cho told a fellow American skater, "I know I have done (expletive) up things. I wish I could take them back. But I can't. ... And I'm preparing myself for the consequences to come."
Two days earlier, Cho had said to a fellow skater, "Everyone knew Jae Su was the mastermind behind the situation at the World Teams."
Cho has not commented publicly on the details mentioned in the documents.
Chun issued a statement Sunday denying that he abused athletes in any way while expressing confidence he would be found innocent. He has not commented publicly on the tampering allegations.
Seven members of the U.S. short track team, including Olympic bronze medallist Lana Gehring, have signed a statement supporting Chun, claiming abuse allegations against their coach are "baseless" and a "false attack on his character."