With the carrier teetering on the brink of bankruptcy, sovereign wealth fund Khazanah stepped in to take it over several years ago and major reforms were instituted, including cutting thousands of staff.
But it has continued to fare poorly and its performance was blamed in large part for a set of poor financial results released by Khazanah last week.
"We will nevertheless be studying and investigating as to whether we should shut it down or we should sell it off or we should refinance it."
Official news agency Bernama reported that Khazanah last week posted a pre-tax loss of 6.3 billion ringgit (USD 1.54 billion) for 2018, compared with a pre-tax profit of 2.9 billion ringgit the year before.
Mahathir, 93 and in his second stint as premier, is seeking to reduce a mammoth national debt inherited from the previous, corruption-plagued regime.
Malaysia Airlines said in a statement it had been "working closely" with Khazanah on the next phase of its turnaround plan since September.
The disappearance of Flight MH370, which was carrying 239 people, remains one of the world's greatest aviation mysteries, and successive searches have failed to find the plane.
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