The upcoming parliamentary debate will be about the Gupta family's use of the Waterkloof Air Force Base at the end of April to bring guests to a family wedding.
"[The Democratic Alliance] wanted to use the topic as a smokescreen to pursue its obsessive vendetta against President Zuma," ANC chief whip Moloto Mothapo said on Sunday.
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"It is becoming clear Parliament would have failed in its constitutional responsibility if this important debate is reduced to some kangaroo court."
Mothapo dismissed calls by the DA for Zuma to be present at the debate, saying that the topic was not the president, but the use of the military airport.
Mothapo said Zuma was not an MP and therefore could not be expected to be present for snap debates.
'Extremely absurd'
It would be "extremely absurd" for Zuma to account for a matter that was still under investigation, said Mothapo.
Earlier this week, the ANC agreed to the debate saying that Parliament had a responsibility to reflect on the matter.
"We cannot allow a situation whereby our ports of entry and national key points are penetrated with impunity."
The debate is scheduled to take place from June 4 to 7.
On Sunday, the DA said it requested that Public Protector Thuli Madonsela investigate the controversy around the Gupta family's use of Waterkloof base to land a plane carrying guests for a wedding.
"We cannot allow President Jacob Zuma and members of his Cabinet to get off the hook by hanging a couple of rogue officials out to dry," said DA MP David Maynier.
A senior police officer, three air force officers, and the chief of state protocol have been suspended for their alleged part in the unauthorised landing of the jet carrying the wedding party. – Sapa