Mr Hadi also welcomed the statement, saying he was ready to work with Mr Saleh against the Houthis.
"I call on our brothers and the Arab coalition to halt their aggression, allow access to medical and relief aid, open airports and we will turn the page", Saleh said in a televised speech.
The address came as forces loyal to Saleh were engaged in battle with the troops of Ansar Allah, or the Houthi rebels, in the capital Sanaa.
Former Yemeni president Ali Abdullah Saleh has said he is ready for a "new page" in ties with the Saudi-led coalition fighting in Yemen if it stopped attacks on his country, in a move that could offer a pathway to end almost three years of war.
He added: "We will deal with them in a positive way and what happened to Yemen is enough".
Tension between Saleh and the Houthis has been rising in recent months.
"The decision of Popular General Congress to take initiative and align itself with its people will free Yemen from loyal militias to Iran", he said in a statement released by Saudi SPA Agency, in reference to Saleh's party. "Saleh's speech is a coup against our alliance and partnership... and exposed the deception of those who claim to stand against aggression", a spokesman for the group said in a statement carried by the rebels' Al Masirah TV.
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Sanaa has been rocked by an eruption of violence this past week between Saleh's supporters and the Houthi rebels.
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.
Some reports said Mr Saleh's fighters had seized control of a key Houthi command post.
Later in the day, Saleh said he was ready for a "new page" in relations with the Saudi-led coalition pounding Yemen if it stopped attacks on his country.
For his part, Houthi leader Abdel Malek al-Houthi called on Saleh to end what he called "the sectarian strife" that he has instigated, and threatened to take action against his supporters militarily if he does not.
The Saudi-led coalition had been fighting both the Shiite Houthi rebels and Saleh's party in Yemen since March 2015 to support the internationally-recognized government led by President Abd-Rabbu Mansour Hadi.
"It needs to be fully wound down if we are to avoid an atrocious humanitarian tragedy involving the loss of millions of lives, the like of which the world has not seen for many decades", UN Undersecretary for Humanitarian Affairs Mark Lowcock said Friday addressing reporters in Geneva.