Liddell is now the White House's director of strategic initiatives and is said to be a key ally of Jared Kushner in an administration rife with internal feuds.
Liddell, a former CFO for Microsoft and later GM, joined the administration early past year and has worked closely with Jared Kushner, the president's son-in-law and senior adviser.
"The president, I believe, is listening to Larry Kudlow on our air and likes what he hears", Cramer said.
"I " m looking at Larry Kudlow very strongly", Trump told reporters as he left the White House for a trip to California.
Cohn quit the White House last week after Trump refused to heed his advice against imposing a steel tariff. Also reported to be on the list is Peter Navarro, Trump's top trade adviser.
However, in an interview that aired on Sunday, Kudlow predicted that in addition to Canada, Mexico and Australia, other countries would also secure exemptions from the tariffs.
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"I think he'd be the flawless person for the job", he said. His departure from the West Wing was announced last week and followed his break with Mr. Trump over the president's plan to impose tariffs on steel and aluminum. We don't agree on everything.
Trump added that Kudlow "has a very good chance" of ultimately being named.
During his sendoff to Cohn, Trump mentioned the dispute over tariffs, saying Cohn "is not quite as strong on those tariffs as we want".
Liddell, like the former Goldman Sachs executive Cohn, has a background in crunching numbers and dealing with Wall Street.
He did, however, float the possibility of Cohn returning to the White House in a different capacity.