The US Securities and Exchange Commission had asked the court to hold Elon Musk in contempt.
Murdoch, already an independent director of Tesla, has signaled he wants the job, the report claims.
Rupert Murdoch is preparing to step down as chief executive of the media entertainment conglomerate 21st Century Fox and hand the job to his son James
James Murdoch was re-elected to the board of BSkyB, ensuring his family's media empire retains a direct influence at Britain's biggest pay-TV company despite being weakened by a phone hacking scandal.
Rupert Murdoch survived yet another attempt to oust him as chairman of his News Corp media empire, the second straight year he has defeated critics who say his family wields too much control over the company.
Media mogul Rupert Murdoch has resigned as a director of a number of News Corp boards overseeing his Britain newspapers,
A British minister in the hot seat for his alleged close ties to Rupert Murdoch's media empire did lobby Prime Minister David Cameron to back the tycoon's bid for satellite broadcaster BSkyB, according to a memo made public
The Labour MPs and all those columnists who are wetting themselves in excitement at having a pop at Murdoch have actually lowered themselves to partisanship and muddied "truths" they so despise in Murdoch.
Murdoch Sr, in two days, was a gatling gun of headlines that sent the media in so many directions they lost focus on the witness himself.
Several people in the David Cameron government were left squirming as James Murdoch's deposition with the Leveson Inquiry yesterday revealed close proximity with people in power, particularly on the issue of the failed BSkyB takeover bid.
In a widely watched deposition at Lord Justice Brian Leveson's inquiry, 39-year-old Murdoch was subjected to close scrutiny on the issue of how much he knew about unethical news-gathering practices at the tabloid.
Murdoch said he had no reason to doubt his subordinates when he took over at News International.
News Corp chairman Rupert Murdoch and his son James will give evidence next week to Britain's media ethics inquiry.
James Murdoch resigned on Tuesday as chairman of BSkyB, saying he did not want to damage the company any further by the intense scrutiny surrounding his role in a phone-hacking scandal that has convulsed his father's media empire.
Rupert Murdoch on Thursday declared war against "enemies" who have accused his pay-TV operation of sabotaging its rivals, denouncing them as "toffs and right wingers" stuck in the last century.
The Australian Financial Review, citing internal documents it dug up during a four-year investigation, said News Corp had used a special unit, Operational Security, set up in the mid-1990s, to sabotage its competitors.