Yemen's government says its forces are not attacking the port of the rebel-held city of Hudaydah, the main entry point for aid to the war-torn country.
"We are not planning to destroy the infrastructure," Foreign Minister Khaled Alemany said.
Pro-government forces, backed by a Saudi-led coalition, began an assault on the Red Sea city on Wednesday.
Aid agencies have said the battle threatens to cut off basic supplies to millions of people at risk of famine.
On Friday, pro-government fighters advanced on Hudaydah's airport with the support of coalition air strikes on positions held by the rebel Houthi movement.
At a news conference in New York on Thursday, Mr Alyemany said: "We are in an area close to the airport, but not to the seaport.
"The seaport is totally out of operations, today," he added.
Executive Director David Beasley urged all parties "to meet their obligations to protect civilians and civilian infrastructure and take active steps to respect the international humanitarian law".
Coalition warplanes have frequently bombed Hudaydah's port over the past three years despite its importance to humanitarian operations. A partial coalition blockade of Hudaydah has also significantly reduced imports of essential goods.