This followed court action by the UDM to force Parliament to use a secret ballot after the ANC said its MPs would vote as a block.
Opposition parties said yesterday they were united in their efforts to ensure that Zuma was forced out of office.
DA leader Mmusi Maimane’s spokesman, Mabine Seabe, said every effort was being made to get Zuma out.
Following Friday’s mass protests in various cities, a number of anti-Zuma marches have now been planned for April, including on Wednesday, the president’s birthday.
Seabe said the ANC was betraying the trust of South Africans by forcing them to toe the party line, and refusing to allow its MPs to vote with their conscience.
“If the ANC on April 18 supports Zuma, it means they have turned their backs on the poor people of South Africa,” he said.
Cope spokesman, Dennis Bloem, said Zuma has failed the country and the only way to remove him from office was through rolling mass action, which would put pressure on Zuma to resign.
UDM leader Bantu Holomisa wants the court to force Parliament to agree to the secret ballot.
He said this was “plan B” for the opposition and they hope the High Court in the Western Cape will rule in their favour.
Speaker Baleka Mbete has said the rules and the Constitution do not allow for the secret ballot.
Secretary to the National Assembly, Masibulele Xaso, said last week the rules only allow the secret ballot during the election of the President, Speaker and Deputy Speaker.