The Democratic Alliance, the main opposition party, includes many members of the white minority that still controls much of the economy 23 years after the end of apartheid.
Opposition parties have dubbed Wednesday's march "a national day of action".
Mr Zuma, who is due to stand down as head of the ANC in December, and as national president ahead of the 2019 general election, did not appear concerned as he celebrated his birthday with supporters in Johannesburg.
The ruling African National Congress party, which has a majority in parliament, has rejected calls for Zuma to step down and said it will vote against the no-confidence motion on April 18.
The march to the Union Buildings will then begin at noon.More news: Warriors to sit Kevin Durant for Game 2 vs. Trail Blazers
Tens of thousands of protesters marched through South African cities on Friday demanding Zuma step down.
South Africa's ex-leader Thabo Mbeki on Tuesday waded into a no-confidence debate against President Jacob Zuma, urging lawmakers to set aside political affiliation during next week's vote.
But aside from Zuma's laudable goals, the president may have some other, undisclosed, wishes, given the current state of political and economic affairs in South Africa.
Zuma has seemed nonplussed by the widespread calls for his resignation‚ a campaign driven by several opposition parties and civic organisations.
In fact, Zuma's power grab is a mistake that could be fateful to South Africa. Even if all opposition parties support the motion to force the president to resign, they will need 51 ANC Members of Parliament (MPs) to vote against their leader.More news: N.Korea may figure again on 'state sponsor of terrorism' list
"We want to say we love him, happy birthday Baba, may God bless him to be healthy and remain strong because he is a strong man", Mamabolo said. Zuma, who is in his second five-year term after becoming president in 2009, has become a flashpoint for concerns about government corruption and mismanagement in one of Africa's most powerful economies. As Zuma faces another test of his leadership, he would no doubt like a united party behind him.
The country's currency subsequently crashed, and ratings agencies downgraded its investment grade to junk status. A secret ballot, however, would allow for anonymous dissent.
"With regards to the march, we are seeing multi-party democracy at its best", said Wayne Thring, deputy president of the ACDP.
The removal of Gordhan will frighten away desperately needed foreign investment and could open the way to bad deals, like the nuclear plants from Russian Federation, that South Africa cannot afford.More news: Pence Praises Toyota, Says Economic Ties With Japan Can Improve
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