Mr Zelensky welcomed the announcement coordinated between the US and UK on Tuesday to hurt Russia financially over its invasion of Ukraine.
He earlier received standing ovations during a virtual speech to the House of Commons, during which he called for the UK to “make sure that our Ukrainian skies are safe”.
The historic address came shortly after ministers announced the UK will phase out the import of Russian oil and oil products by the end of the year.
In his daily address to Ukraine, Mr Zelensky went on to say: “This is a powerful signal to the whole world.
“Either Russia will respect international law and not wage wars, or it will have no money.”
However, in a move likely to draw criticism from campaigners against the climate crisis, ministers were considering steps that could lead to a fracking rethink in the UK.
Amid concerns over soaring energy costs, it was understood two Cuadrilla sites in Lancashire may be handed over to the Royal Geographical Society rather than being concreted over.
Fracking, or hydraulic fracturing, has been under a “moratorium” for over two years but the move could allow for the sites to be opened up at a later date.
US President Joe Biden ordered a ban on Russian oil imports, while the European Union was also expected to announce a phasing out of dependence on Moscow’s energy.
Business Secretary Kwasi Kwarteng urged businesses to “use this year to ensure a smooth transition so that consumers will not be affected”, with 8% of UK oil demand coming from Russia.
Meanwhile, the UK was also tightening its aviation sanctions to make it a criminal offence for Russian planes to enter UK airspace.
Transport Secretary Grant Shapps told airports he can order them to detain Russian aircraft and has the power to order the Civil Aviation Authority to terminate registration of planes owned by sanctioned individuals.
The ownership of one plane at Farnborough Airport in Hampshire was understood to be under investigation.
A Government source told the PA news agency the aircraft “was transporting a wealthy Russian and the ownership of the aircraft is now the subject of an investigation”.
“The aircraft will only be allowed to leave Farnborough if the inquiry shows it is not a Russian owned or controlled jet,” the source added.
In the Commons speech, Mr Zelensky evoked an inspiring wartime speech from Sir Winston Churchill as he made a comparison to the situation Britain faced during the Second World war.
“We will fight until the end, at sea, in the air. We will continue fighting for our land, whatever the cost,” the Ukrainian leader said.
“We will fight in the forest, in the fields, on the shores, in the streets.”