He posted on X: "One of the first steps toward fully ending the war could be ending strikes on energy and other civilian infrastructure. I supported this step, and Ukraine confirmed that we are ready to implement it.
"We believe such steps are necessary to create the possibility for a comprehensive peace agreement to be prepared during the ceasefire."
America has proposed that both sides halt attacks on energy facilities and infrastructure as a first step toward a broader peace deal.
President Trump and Russian counterpart Vladimir Putin spoke on the phone on Tuesday, while Zelensky spoke to the US leader yesterday.
Zelensky said Ukrainian and US officials will meet in Saudi Arabia within days to "resolve technical issues related to implementing and expanding the partial ceasefire".
A Downing Street spokesman said: "We welcome the progress President Trump has made towards a ceasefire deal, and we will continue to work with international partners on putting Ukraine in the strongest possible position.
"We now need to ensure the implementation of the ceasefire deal to see a just and lasting peace in Ukraine."
During the call, Trump appeared to suggest the States was interested in taking control of Ukraine's electrical and nuclear power sites.
But Ukrainian energy experts say such plants cannot be privatised by law.
There had been questions over Trump's earlier claim that peace talks were "very much on track" after Putin continued his onslaught on Ukraine, despite allegedly agreeing a ceasefire on energy and infrastructure targets.
After Trump's 90-minute call with Russia's president on Tuesday, air raid sirens sounded in Kyiv.
Drone strikes hit civilian infra...