In a daily address on Saturday, he said Ukraine "remained in regular contact with the US side" and was waiting "to provide specifics on further meetings".
"Ukraine is ready to work in all effective formats. What matters is the results. And that meetings happen. We are counting on meetings next week and are preparing for them."
Trilateral US-Ukraine-Russia talks were planned to take place in Abu Dhabi on Sunday.
However, Zelensky said on Friday that the meeting might not go ahead because of the tense situation around Iran.
Separately, US representative Steve Witkoff met a Kremlin envoy, Kirill Dmitriev, in Miami, Florida, on Saturday, calling the talks "productive and constructive".
Mass power outages across Ukraine
Zelensky also addressed recent problems in Ukraine’s energy system, saying a technical incident had disrupted several transmission lines connecting Ukraine with Romania and Moldova, with no confirmation of external interference.
"Most indications point to weather: ice buildup on the lines and automatic shutdowns," he said, adding that electricity supplies had largely been restored and stabilisation work was continuing.
Ukraine’s electricity system has been under sustained pressure for months following repeated Russian missile and drone attacks on energy infrastructure.
Earlier, Russia indicated it may end a so-called energy ceasefire on Sunday, which could lead to renewed strikes on Ukrainian power facilities.
(ał)
Source: PAP, Reuters