President Donald Trump has said Tim Cook, Apple's former chief executive, is the only person fit to take over at Nvidia following Jensen Huang's resignation.
Writing on Truth Social, Trump said Huang had done a fantastic job and that there was "only one man to take his place".
"A Legend replaces a Legend!" he added.
Cook ran Apple from 2011 to 2026, overseeing the launch of the Apple Watch and AirPods and the growth of its services business.
He is now executive chair of Apple's board.
Johny Srouji, Apple's head of hardware, has also been suggested as a possible candidate.
Huang quits
Nvidia's board announced on Wednesday that Huang had resigned.
It followed revelations that he had an affair with an executive at Megaspeed who is suspected of working for Chinese intelligence.
Huang also had a separate affair with Kimberly Powell, Nvidia's vice president of healthcare.
Colette Kress, Nvidia's chief financial officer, has taken over as interim chief executive while the board looks for a permanent replacement.
Pressure in Washington
Trump has also been drawn into the affair.
Reports allege he was briefed on intelligence that Huang had been targeted in a so-called honeytrap operation but chose not to act, to avoid hurting Nvidia's sales or upsetting China.
Congress has called Huang to appear before the House Select Committee on the Chinese Communist Party.
It has threatened to force him to attend if he refuses a voluntary closed-door session.
Nvidia shares fell more than 10% when trading opened on Wednesday, before recovering much of the loss.
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