"We have conveyed our proposals to the American side," Zelenskiy said in his nightly video address.
"And the United States can help strengthen our defence, first and foremost with air defence, and put pressure on Russia so that its plans are different -- to prepare for an end to the war rather than prolonging it."
Zelenskiy also accused Russia on Tuesday of using North Korean ballistic missiles in an attack on a Ukrainian steel plant that killed seven workers in the southeastern city of Zaporizhzhia.
The Zaporizhstal plant was forced to suspend production after being hit as Russia pummelled Zaporizhzhia with Zircon hypersonic missiles, guided aerial bombs and ballistic missiles.
"The ballistic missile strike hit as employees were making their way to a shelter immediately after the air-raid alert was sounded," parent company Metinvest Group said in a statement that put the death toll at seven.
Regional governor Ivan Fedorov posted photos of buildings and vehicles ablaze after the strike, which also damaged four residential buildings.
At least 24 people were injured.
No damage was reported at the Zaporizhzhia nuclear power plant.
Russia's defence ministry said Russian forces had struck a metallurgical plant in Zaporizhzhia that produces flat-rolled steel which it said was used by the Ukrainian military.
The ministry also said Russian forces had struck the Nova Poshta sorting complex in Kyiv, which it described as used to distribute dual-use goods including components for drones and electronic warfare equipment.
The attacks followed a Ukrainian drone strike that Russian authorities said on Monday had killed at least 13 people and wounded 39 in Nizhnekamsk, one of the heaviest civilian tolls in Russia in months.
Ukrainian forces said they had hit the city's TANECO oil refinery.