Newspapers reported on Wednesday that he allegedly stormed out of a family meeting in Qunu on Tuesday.
According to the reports, he allegedly moved the graves of three of Mandela's children from Qunu to Mvezo in 2011, apparently without consulting the family.
It was reported that the family wanted the graves of Mandela's sons Makgatho and Thembekile, and daughter Makaziwe, to be returned to Qunu.
"Chief Zwelivelile [Mandla Mandela] has no issues with any authorised person in the family repatriating any or all of the graves," Mandla Mandela's spokesperson Freddy Pilusa was quoted as telling The Star on Thursday.
"Mvezo is the birthplace and traditional home of the Mandelas, and thereby lies its historic and heritage significance."
He said Mandla Mandela would not comment now on plans for his grandfather's burial.
The 94-year-old former president was admitted to the Medi-Clinic Heart Hospital on 8 June for treatment of a recurring lung infection.
The presidency said in a statement on Tuesday that he remained in a critical condition.