"We can not allow this suffering to continue", Beasley, who arrived in Yemen on Sunday, said on his Twitter account.
Hodeidah is the key port of 90 per cent of food imports and aid for millions of Yemenis living in the northern cities, which are under Houthi control.
The UN World Food Programme on Thursday appealed for an end to the devastating three-and-a-half-year civil war in Yemen, where a full-blown starvation looms in what is the worst humanitarian crisis in the world today.
Sweden is preparing to host consultations when the parties "are ready to talk", said a source familiar with the matter.
As the United Nations World Food Programme (WFP) prepares to ramp up aid to Yemen, in the face of the world's worst humanitarian crisis, David Beasley, Executive-Director of the agency, issued a heartfelt plea for all warring parties to end "this awful war".
The Iran-backed rebels, known as the Houthis, say that the coalition's offensive on the port has stalled.
"Subject to final reassurances, Coalition forces will now permit the United Nations to oversee a Houthi medical evacuation, including up to 50 wounded fighters, to Oman, ahead of another proposed round of peace talks in Sweden later this month", the office said in a statement published on its official website.
The Houthis, who seized the port in 2014, said they were placing mines across Hodeidah province, airing footage late on Tuesday of what they said were landmine explosions targeting pro-government forces.
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Yemeni politicians and activists told Asharq Al-Awsat that they are concerned halting operations abruptly against Houthi-controlled areas means prolonging the war and giving the pro-Iranian group an opportunity reassemble and bring in reinforcements to many fronts.
The Arab coalition intervened in Yemen's conflict in March 2015 to roll back Shiite Houthi rebels and reinstate Yemen's exiled President Abdu-Rabbu Mansour Hadi.
The decision appears to have been a response to calls from aid agencies and intense shuttle diplomacy efforts by the UN and the UK foreign secretary, Jeremy Hunt, ahead of a briefing on the urgent humanitarian situation by UN special envoy Martin Griffiths on Friday.
Another military source backed by the coalition confirmed the order.
"We welcome early convening of UN-led talks in Sweden", Gargash, tweeted.
However, media outlets loyal to the Houthi group dismissed the reports about military progress made by government forces in Hodeidah.
The Sunni Muslim alliance led by Saudi Arabia and the United Arab Emirates has renewed its offensive on Hodeidah, a lifeline for millions of Yemenis, as Washington and London called for a ceasefire. While it has air supremacy, the Houthis have proved better at guerrilla warfare.