The accounts are sharply at odds with Trump's depiction of the call as a "perfect" exchange in which he "did nothing wrong", despite appearing to link US support for Ukraine to that country's willingness to investigate the family of the former vice president.
Zelensky said the US has not provided any details of such interference.
A former comedian who won a landslide election victory in April despite having no political experience, the 41-year-old Zelensky has been unwillingly drawn into a political battle in Washington between Mr Trump and his Democratic opponents.
The Ukrainian leader said he was unaware that military aid to his country had been blocked when he spoke to Trump in July. There was no blackmail'.
Zelensky told reporters Thursday in response to the White House's release of the phone's transcript.
At least four national security officials were so alarmed by the Trump administration's attempts to pressure Ukraine for political purposes that they raised concerns with a White House lawyer both before and immediately after President Trump's July 25 call with that country's president, according to USA officials and other people familiar with the matter.
A July phone call in which Mr Trump asked Volodymyr Zelenskiy to look into shaky allegations that Mr Biden had gotten a Ukrainian prosecutor general fired because he planned to investigate his son has sparked impeachment proceedings in congress.
Zelensky said he "didn't even check" to determine whether his government's record of the call matched that of the White House's, but added "I think they match".
Trump has denied those claims, and the military aid has since been released to Ukraine.
Trump has alleged, without any evidence, that Biden had improper dealings in Ukraine through his son Hunter who was on the board of Ukrainian gas company Burisma.
Berman says the men asked a USA congressman to help remove the American Ambassador to Ukraine.
'And in case we need to find a solution to questions of this level, questions about our country's security, we use all our powerful possibilities.' He didn't elaborate.
Zelenskiy invited US and Ukrainian prosecutors to cooperate on an eventual investigation into the Bidens, but insisted he would not interfere. Zelensky is trying to save his reputation and distance himself from the US political drama.
Zelenskiy said he thought the call would lead to an in-person meeting with Trump, and wanted the American leader to come to Ukraine.
"There was no blackmail", he said.
Meanwhile, it is not immediately clear if the individuals who had complained to John Eisenberg were the same ones (at least some of them) who talked to the whistleblower, an alleged Central Intelligence Agency official who launched a complaint over the content of the phone call prompting formal anti-Trump impeachment proceedings, which POTUS branded Thursday "a Democrat scam".
Mr. Zelensky has been accused by Ukrainian analysts of letting Mr. Trump push him around on the call.
'We are an independent country, we have relations with many countries, ' not just the USA, he said.
Ukraine's president just can't stop talking.
In the July call, Trump sought help on two fronts.