Those fired included finance minister Parvin Gordhan, a well-respected ANC politician who had been leading anti-graft activities in government and efforts to attract foreign direct investment for the country's ailing economy.
Congress of the People wants to applaud all the people of South Africa for coming out in their thousands to demand that Zuma must step down.
A DA protester was attacked by pro-Zuma supporters outside the ANC's headquarters in Johannesburg on Friday.
Key allies of the ruling party, including the South African Communist Party and the country's biggest labor group, have urged him to resign. He also got the backing of a major decision-making body within the party.
His removal of Gordhan unleashed a fresh bout of criticism, as many South Africans and worldwide investors saw the former minister as someone who fought corruption. According to Whip Mthembu, the ANC's chief, the ruling party will side with Jacob Zuma. The Guptas are accused of telling the president what to do.
The IFP had consistently warned that South Africa's economy was not something to willy-nilly play with because it was not immune to external factors such as ratings agencies, Hlengwa said.
Protesters are now marching in Johannesburg, Pretoria, Cape Town and other big metropolitan areas to push for the resignation of scandal-hit Mr Zuma. But this was later overturned by a magistrate. In the capital Pretoria, about 15,000 people gathered in a field outside the Union Buildings, the site of Zuma's offices, in a march led by civil society group SaveSA.More news: Some Patriots snub White House invite
The protest went on peacefully under the watchful eye of police. Members of the influential ANC Youth League gathered in downtown Durban, singing "Awuleth'umshini wami", a song popularized by Zuma, which means "bring me my gun" and held placards supporting the president.
On a day that hundreds of thousands of South Africans across the country came out to protest against President Zuma, and our country suffered a further downgrade to "junk status", the case for firing Jacob Zuma is now undeniable.
The government, which has appealed for peace during the countrywide protests, tweeted that the laws in South Africa are also there to "protect the right of those who would not like to participate in protest action".
In response to the protests, ANC presidential contender Nkosazana Dlamini-Zuma said in a tweet; "This is what they are protecting. hence some of us are not part of this rubbish".
The ANC called on all South Africans to organize in a calm and measured fashion.
Zuma reshuffled his cabinet on March 30, changing a total of 20 ministerial and deputy ministerial roles.