He said that Deputy Chief Justice Mandisa Maya should have instead been appointed to the top job.
She was speaking after an independent investigation found no proof of gender-based violence or sexual harassment when EFF MPs were forcefully removed from a parliamentary chamber.
Several of the party's MPs were removed from the chambers during a debate on the Presidency's budget vote in June.
Parties have agreed that several avenues, including a Section 89 and ad hoc committees, as well as a motion of no confidence could be used to hold the president accountable.
EFF leader Julius Malema wants President Ramaphosa removed from office.
Economic Freedom Fighters leader Julius Malema addresses the media.
EFF MP Mbuyiseni Ndlozi has taken the stand at the Randburg Magistrates Court in the assault case against him and Malema brought by Lieutenant Colonel Johannes Venter.
EFF leader Julius Malema spent Youth Day canvassing for votes in Vhembe in Limpopo, calling for young people to join his party.
Politicians held events around the country as they commemorated 46 years since high school students in Soweto protested against the apartheid education system in 1976.
The EFF is hosting a Youth Day event at the Makwarela Stadium in Thohoyandou in Limpopo. Party leader Julius Malema is also set to address the gathering.
Ramaphosa was supposed to reply to the debate into the Presidency budget which he tabled on Thursday but his appearance was again marred by endless points of orders and the removal of MPs.
Ramaphosa is expected to respond to Thursday's debate where opposition parties tried to prevent him from tabling the Presidency budget, citing the criminal investigation into the robbery at his Phala Phala farm in Limpopo.
The party said the repeated postponements shows how the justice system fails victims of gender-based violence.
President Cyril Ramaphosa is also the subject of a criminal investigation, following allegations by controversial former spy boss, Arthur Fraser, that he is implicated in money-laundering, among other charges, and a cover-up.
EFF leader Julius Malema addressed the media on Tuesday at the party's Johannesburg headquarters where he called on the president to step aside amid criminal allegations against him.
The president is under scrutiny over private business dealings involving the stashing of cash at his Limpopo farmhouse and allegations of a cross-border cover-up.
Economic Freedom Fighters EFF leader Julius Malema is addressing the media.
Mxolisi Buthelezi, the EFF uMkhanyakude district chairperson, was driving to a caucus meeting with another party member when he was shot.
