"Once the process of disciplinary procedures has been concluded there will not be anything else to do thereafter - the youth league will have to move forward," Zuma told The New Age newspaper and SABC business breakfast in Port Elizabeth.
Julius Malema was expelled by the national disciplinary committee for sowing division in the party and bringing it into disrepute.
"It [the youth league] will have to have a new president that will be able to move the organisation forward, I don't think it's a crisis," he said.
He said the ANC had no choice but to apply the constitution of the party and "the constitution is very clear".
He acknowledged that Malema's appeal process was still underway.
"[But] I think at the end of the day that has drawn to a conclusion," said Zuma.
He also dismissed suggestions that the youth league had lost confidence in the ruling party.