On Tuesday, the ruling party revealed that the call for Zuma to leave office didn't receive sufficient support and was rejected by the party's executive committee.
The motion was tabled by Tourism Minister Derek Hanekom who was supported by other NEC members, some of whom are also cabinet ministers.
Mantashe says NEC members who are also cabinet ministers who called on the president to step down will not be purged.
“It cannot work that way, it will not be allowed to happen by the NEC.”