"This was not the subject of our conversation", Zelensky told reporters during a "media marathon" at a Kiev food court.
Mr Trump has made allegations, without evidence, that Mr Biden engaged in improper dealings in Ukraine.
"I don't want to interfere in USA elections", Zelensky said. There was no blackmail'.
Fiona Hill, who was until recently President Donald Trump's top aide on Russian Federation and Europe, plans to tell Congress that Rudy Giuliani and European Union ambassador Gordon Sondland circumvented the National Security Council and the normal White House process to pursue a shadow policy on Ukraine, a person familiar with her expected testimony told NBC News.
According to ABC News, Zelensky reiterated there was "no blackmail" during his phone call with President Trump, which formed the basis of House Democrats' impeachment inquiry. Asked whether the Ukrainian version matched up to the USA one, Zelenskiy said: "I didn't even check, but I think that it matches completely".More news: Apple, Google Remove Hong Kong Map After China Backlash
The US president said that the military aid was withheld because Kiev has not done enough to fight corruption, but the move has prompted Democrats to launch an impeachment inquiry.
But Zelenskiy said the call 'wasn't linked to weapons or the story with [Ukrainian gas company] Burisma, ' where Biden's son Hunter served on the board.
Zelenskiy, however, said that if the Normandy talks stall, Kyiv would look for other ways to resolve the conflict. "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".
Trump also has pushed a long-discredited theory about Ukrainian interference in support of the Democrats in 2016, an attempt to cast doubt on Russia's role in the 2016 hacking of the Democratic National Committee. Zelensky is trying to save his reputation and distance himself from the USA political drama.
Mr Zelensky said there were no conditions attached to him meeting Mr Trump, including whether he should investigate the activities of Hunter at Burisma.More news: Thomas Cook Buyers Pledge To Save Jobs 10/11/2019
"There was no blackmail", Zelensky said.
But the deference Mr. Zelensky showed to Mr. Trump on the July 25 call raises questions about how he would fare in one-on-one negotiations with Mr. Putin, the former KGB agent who has ruled Russian Federation for two decades.
The security officials - at least four of them - raised their concerns with National Security Council legal advisor John Eisenberg, the Post said, citing USA officials and other people familiar with the matter.
In the July call, Trump sought help on two fronts.
"China should start an investigation into the Bidens, because what happened in China is just about as bad as Ukraine", the president told reporters last week ahead of a visit to Florida to deliver remarks on Medicare.More news: Xi, Modi meet to promote China-India mutual learning for shared prosperity
"We've agreed on the pullback of the forces, but the current president [of Ukraine] still can't ensure the pullback", Putin said at a summit of the Commonwealth of Independent States (CIS) in Turkmenistan on October 11.