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"Donald TrumpDonald TrumpAt center of Qatar crisis, a billion ransom Chaffetz: Threats against lawmakers should be taken seriously Warren cautions Dems against infighting MORE is a phenomenon," Gingrich said, adding that he admired Trump's ability to garner media attention.

“Trump is a guy who is pretty careful about going out there and mixing it up, and he knows that some days he’s going to look foolish and some days he’s going to look brilliant — but overall, you’re going to remember his name. And he has done a remarkable job at branding as this slightly eccentric billionaire who represents kind of a libertarian, right-wing attitude.”

The former House Speaker admitted that an appearance on the show "would require a risk-taking attitude and a willingness to look a little foolish, which most Republicans are horrified at."

Gingrich's apparent willingness to appear on Trump's show seems to put to bed any lingering resentments from the presidential campaign, during which Gingrich and Mitt Romney fought for Trump's endorsement. At one point, aides to Gingrich's campaign hinted they had scored Trump's endorsement — only to have the real estate mogul hours later announce he was backing Romney.

Gingrich is no stranger to unorthodox television appearances. Earlier this year, he made a surprise cameo on an episode of NBC's "Parks and Recreation."