Republican presidential candidate Donald TrumpDonald TrumpKaine, Warner press Trump admin to repair Arlington Memorial Bridge Overnight Regulation: Dem asks SEC to probe health pick | Interior nominee questioned on public lands, climate Congress must ensure charities remain safety net for patients MORE said early Wednesday that Sarah Palin could play a role in his administration should he win the White House.

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Trump said on NBC's "Today" show that he hasn't discussed the possibility of Palin as his running mate, but, if elected, "Certainly she could play a position if she wanted to."

"I don't think that it would be something that she would want to do. She's been through that," Trump said of the 2008 GOP vice presidential candidate running again.

Palin has previously said that she would be interested in being Energy secretary, though she added to CNN in September that she would eliminate the federal department.

The former Alaska governor endorsed Trump Tuesday evening during a campaign stop in Iowa, which Trump described on Wednesday as "captivating" and "such an honor."

"We've known each other for a long time. I've always liked her a lot and respected her a lot," Trump said. "Everybody wanted that endorsement."

Palin had a bit of a flare-up with Sen. Ted CruzTed CruzGraham, Cruz proposal to defund the U.N. is misguided Right renews push for term limits as Trump takes power Dissenting nominees give hope to GOP skeptics of Trump MORE (Texas), currently Trump's main rival for the GOP nomination, on Tuesday ahead of her endorsement. She had backed Cruz's Senate bid and had spoken warmly of the firebrand Texas lawmaker.

But that appeared to fizzle Tuesday as speculation rose she would endorse Trump. Cruz sent a tweet walking back comments from an aide who said it would be "deeply disappointing" if Palin endorsed Trump. That came after Palin's daughter Bristol ripped Cruz's "arrogance" for thinking a Trump endorsement would hurt her mom.

Asked on NBC whether Palin appeared to wrestle with the decision to endorse Trump, the businessman responded, "Well, I think she like what she sees."

"I think she likes what she sees with in terms of what I'm talking about in trade," Trump said, mentioning China, Japan and Mexico, along with his position on the military and on behalf of veterans.