BRUSSELS — This summer, just after he visited the White House for the second time, President Andrzej Duda of Poland held forth about how much he admired President Trump’s transactional style.

“I must tell you that in this respect I find it very easy and good to cooperate with President Donald Trump,” Mr. Duda said in an interview in Warsaw. “Because he’s very down to earth, very concrete. He tells me what he wants, he asks me what he can get from us.”

Given that well-established style of wheeling and dealing, the revelations about Mr. Trump’s phone call with President Volodymyr Zelensky of Ukraine — in which Mr. Trump asked the Ukrainian leader for a ‘‘favor,’’ to dig up dirt on a political opponent — have reinforced impressions of the American president.

Regardless of impeachment, for now, at least, many analysts and media commentators abroad say they assume that Mr. Trump will remain president. But some wondered if this was perhaps ‘‘the deal too many,’’ as the headline on the cover of the German newsmagazine Der Spiegel read, showing Mr. Trump on the phone.