Republican presidential candidate Donald TrumpDonald John TrumpDems flip Wisconsin state Senate seat Sessions: 'We should be like Canada' in how we take in immigrants GOP rep: 'Sheet metal and garbage' everywhere in Haiti 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 CruzRafael (Ted) Edward CruzWith religious liberty memo, Trump made America free to be faithful again Interstate compacts aren't the right way to fix occupational licensing laws Texas Dem: ‘I don’t know what to believe’ about what Trump wants for wall 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.