"The right choice for the Saudi regime and its allies is to stop the war, end the blockade and engage in direct dialogue", Samad said at the rally.
The Saudi-led coalition said Monday it would reopen Yemen's ports closed after a ballistic missile attack by Yemen on Riyadh - but not ports in Houthi-control territory.
Yemeni officials in Sanaa, which is held by the rebels, said the airport's runway had also been damaged, claiming fix crews were already at work.
Jamie McGoldrick of the UN Office for the Co-ordination of Humanitarian Affairs, who is based in Amman, said UN staff had visited the airport and spoken with authorities there.
The ambassador also said the Houthi-controlled ports, including Hodeida, should remain closed and he called on UN Secretary General Antonio Guterres to send a delegation to Riyadh to "review current procedures to enhance and deliver a more robust verification and inspection mechanism aimed at facilitating the flow of humanitarian and commercial shipments while preventing the smuggling of weapons, ammunition, missile parts and cash". The top Iranian diplomat said, "Blocking of humanitarian access to an already famine-stricken Yemen and the decision to "close all Yemeni air, sea and land ports" have further deteriorated the humanitarian nightmare in Yemen".More news: HTC reveals Vive Focus VR headset
The U.S. House of Representatives overwhelmingly voted for a resolution declaring that U.S. military assistance to Saudi Arabia in its war in Yemen is not authorized under previous legislation which has given the president power to combat terror overseas and invade Iraq in 2003.
Saudi Arabia's ambassador to the UN Abdallah al-Mouallimi told reporters in NY on Monday that ports in government-controlled areas such as Aden, Mukalla and Mocha will be reopened.
Saudi Arabia and the US have accused Iran of supplying the ballistic missile used in that attack.
United Nations aid operations need access to the ports of Hodeida and Saleef because more than two-thirds of the people in need are closest to those ports, he said.
Aden, on the south coast of Aden, is the stronghold of the internationally recognised, Saudi-backed government of President Abdrabu Mansur Hadi.