He also points up that Saleh's move represents a turning point in the situation inside the country, in which the tables have been turned against the Houthis, and the situation has returned to the status-quo prior to September 2014, when the Houthis seized chunks of the capital from former president Hadi.
"I call on our brothers in neighboring countries.to stop their aggression and lift the blockade", he said, "and we will turn the page".
Saleh's call comes amid street fighting between his loyalists and Houthi rebels across the capital Sanaa.
Former president Saleh and the Yemeni military fought the Houthi rebels five times from 2005 to 2014, before becoming allies after the Saudi-led coalition took military action in March 2015 to restore President Hadi to power, who had been ousted and imprisoned by the Houthis.
"We will deal with them in a positive way and what happened to Yemen is enough", he added. The Sunni-ruled kingdom heads a military coalition allied with the internationally recognized government of Yemeni President Abed Rabbou Mansour Hadi.
"The decision by (Saleh's) General People's Congress to take the lead and their choice to side with their people will free Yemen of. militias loyal to Iran", the statement carried by the official Saudi Press Agency said.
Tensions between the Houthi and Saleh's party rose Wednesday after Saleh's supporters refused access of the Houthis to the Saleh Mosque in the south of Sanaa to secure a religious ceremony to commemorate birthday of Prophet Muhammad.
Google Launches Datally a data-monitoring app [Download]
The app allows users to track the apps that use up data the most for a given user, as well as determine where they can save data . See your usage on a hourly, daily, weekly or monthly basis and get personalized recommendations for how you can save more.
He urged the "turning a new page with all the political sides. and to form a broad national coalition that will lay the foundations for a new era and unify everyone against the coup militia".
"Saleh's speech is a coup against our alliance and partnership, and exposed the deception of those who claim to stand against aggression", al-Houthi said in a statement made Al Masirah TV.
However, in a statement, Saleh's party, the GPC, ordered their supporters to defy Houthi's orders and to "defend their homeland, their revolution, and their unity".
Residents of Yemen's capital, Sanaa, are used to the sounds of gunfire, but in the last four days they've had to adjust to new faultlines in the conflict.
The United Nations released a stern warning on Friday to the Saudi-led coalition of the catastrophic consequences associated with not fully lifting the blockade on Yemen, and UN leaders on Saturday issued a joint statement calling for the full lifting of the blockade.
The conflict and a blockade by the coalition has also left more than 20 million people in need of humanitarian aid, created the world's largest food security emergency, and led to a cholera outbreak that is thought to have killed 2,211 people since April.