Earlier on Monday, Mr Trump said he hoped Mr Zelenskyy would visit the US to sign a deal on Ukraine's rare earth minerals soon.
Emmanuel Macron has said a peace deal with Russia "must not mean a surrender of Ukraine" - as Donald Trump claimed Vladimir Putin's forces "want to end this war".
Just last week, in a bitter exchange of words, Mr Trump called Ukraine's leader a "dictator" and said he "better move fast or he is not going to have a country left" after Mr Zelenskyy had accused him of living in a Russian-made "disinformation space".
Mr Trump then explained he wants to "get this war stopped," whether that's through a ceasefire or a direct agreement - but when asked if Ukraine should give up territory as part of any deal, he said: "We'll see.".
The news conference came as Mr Putin said he is ready to discuss Russia cutting its defence budget alongside the US, saying a mutual drop of 50% would be a "good idea".
