The Uefa president, 60, was suspended by Fifa's ethics committee in December along with its president Sepp Blatter.
They were found guilty of breaches surrounding a "disloyal payment" made to Platini, but the Frenchman has appealed to Fifa's appeals committee.
Platini has withdrawn from February's Fifa presidential election.
A statement from European governing body Uefa said: "The Uefa executive committee decided there will be no Uefa presidential election scheduled until the sports justice appeal bodies, including potentially the Court of Arbitration for Sport, have taken a decision regarding Michel Platini's suspension.
"We hope his name is cleared and that he can return to the European football family as quickly as possible."
With BBC
