|File photo: Yemen's former President Ali Abdullah Saleh attends a ceremony marking the 30th anniversary of the establishment of the General People's Congress party, which he is leading, in Sanaa|
It was not immediately possible to verify the authenticity of the report.
“I will lead the battle until the last Houthi is thrown out of Yemen … the blood of my father will be hell ringing in the ears of Iran,” Ahmed Ali Saleh was quoted as saying.
He called for his father’s backers to “take back Yemen from the Iranian Houthi militias”.
The veteran former leader was killed in a shooting attack on Monday after switching sides, abandoning his allies from the Iran-allied Houthi movement that controls the capital Sanaa in favour of a Saudi-led alliance fighting on behalf of a government based in the south.
Saleh’s death deepens the complexity of the multi-sided war. Much depends on the future allegiances of his loyalists.
The Saudi-led coalition was counting on him to give them an edge in the conflict, which has led to one of the worst humanitarian crises in the world.
Saleh, who ruled in Sanaa from 1978-2012, had a wide following in Yemen, including army officers and armed tribal leaders who once served under him. His supporters may still be able to have some impact on the war.
His son Ahmed Ali has lived under house arrest in the United Arab Emirates, where he once served as ambassador before it joined ally Saudi Arabia to make war on the Houthis, who until this week had ruled much of Yemen together with Saleh.
Political sources say he had been held incommunicado and under guard at a villa in the UAE capital, Abu Dhabi. His reported first public statement may indicate that his former enemies in the coalition are unleashing him against the Houthis.
The UAE is a key member of the mostly Gulf Arab alliance that sees the Houthis as a proxy of their arch-enemy Iran but had struggled to make gains against the Houthi-Saleh alliance despite thousands of air strikes backed by US and Western arms and intelligence.
Ahmed Ali, the powerful former military commander of Yemen’s elite Republican Guards, appeared to have been groomed to succeed his father, and he may be the family’s last chance to win back influence.
The whereabouts of Saleh’s other key relatives, who had led six days of street battles against the Houthis in the capital Sanaa before being routed on Monday, were unknown.
Residents reported that fighting had subsided but that Saudi-led coalition jets pounded several targets, including the downtown presidential palace where a governing body led by Houthi-Saleh politicians had regularly convened.
The Houthi leader, Abdul Malik al-Houthi, hailed Saleh’s death in a speech on Monday as a victory against a treasonous conspiracy by Yemen’s Saudi enemies and called for a mass rally on Tuesday at a parade ground near the site of the air strikes.
He also reached out to Saleh’s political party and said his movement had no quarrel with it, underscoring the influence his allies still have in Yemen.
In the southern city of Aden, where the Saudi-backed government is based, residents set off fireworks and expressed joy. Saleh was almost universally hated throughout southern Yemen after he launched a war to unify the country in 1994, lobbing ballistic missiles at the city.
But his legacy is mixed. He is still loved in much of the north and many supporters will bear a grudge towards his killers.
Some feared Saleh’s death would create more instability in Yemen, where a stalemate has contributed to a human catastrophe as a Saudi-led blockade and internal fighting has thrust millions of people to the brink of famine.
“We expect things will get worse for us. This will be the beginning of a new conflict and more bloodshed. The war will not end soon,” said Aswan Abdu Khalid, an academic at the psychology department at the University of Aden.