Zelensky said the coming days would show whether Moscow abides by the commitment, which Trump said was made because of severe winter weather.
"An important statement by the US president about the possibility of providing security for Kyiv and other Ukrainian cities during this extreme winter period," Zelensky wrote in a social media post.
He added: "We value the efforts of our partners to help us protect lives. Thank you, President Trump! Our teams discussed this in the United Arab Emirates. We expect the agreements to be implemented. De-escalation steps contribute to real progress toward ending the war."
In his nightly video address, Zelensky thanked Washington for the initiative, which he described as a halt to Russian strikes on energy infrastructure.
“Thanks to the American side for their efforts to ensure a stop to strikes on energy targets at this time,” he said. “We will see what the real situation is with our energy facilities and cities in the days and nights ahead.”
Trump said earlier on Thursday that Russian President Vladimir Putin had agreed to pause attacks on Kyiv and other cities for a week "because of the cold, extreme cold" in the region.
“I personally asked President Putin not to fire into Kyiv and various towns for a week, and he agreed to do that,” Trump said during a Cabinet meeting.
"It was very nice. A lot of people said, 'Don't waste the call, you're not going to get that.' And he did it," he added.
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Source: IAR, PAP, Reuters, Ukrinform