Leaders from Ukraine, Russia, Germany and France held a summit to end Europe's only active war last December in Paris, which was followed by signs of de-escalation and prisoner exchanges.
The leaders agreed to hold their next meeting in the four-way "Normandy Format" after four months, but the global coronavirus pandemic and border closures has made holding a meeting impossible.
"It is difficult in these conditions now, but we talked to Germany and France and everyone agrees that immediately after the recession of COVID-19 we should have a meeting in the Normandy format," Zelensky told reporters.
Ukraine, which earlier this month eased a lockdown imposed in March to slow the virus, has registered 19,230 coronavirus cases and 564 deaths.
The Ukrainian president, who did not specify details of a potential post-virus summit, added that he was ready to hold talks with Russian President Vladimir Putin "in any format".
"We have to talk to them," Zelensky said, referring to Russia, at press conference Wednesday to mark one year since his inauguration.
"We have to reach agreements."
The four-way talks in Paris last December were followed by the first ever face-to-face meeting between ex-KGB agent Putin and Zelensky, a former comedian who was elected in 2019.
Ukraine last month exchanged prisoners with Russia-backed separatists in the war-torn east of the country ahead of Orthodox Easter celebrations.
France and Germany -- mediators in Ukraine's peace talks -- welcomed the move.
Ties between Ukraine and Russia were shredded after the popular 2014 uprising ousted a Kremlin-backed president in Kiev.
Russia went on to annex Crimea and support separatists in eastern Ukraine. Since then, more than 13,000 people have been killed in the conflict.