"The person who should do the job is the person who's the most qualified. And we have some options, don't we?" the first lady said.
She also shot down rumors about her own political ambitions, telling reporters that she "definitely" didn't want to run for office.
The former lawyer said her post-White House plans would be "service-focused."
"I would say, 'Where did you take my wife?' I would be sure there had been an alien body snatching going on," he said. "One thing I can promise you, Michelle will not run for office."
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