The Anadolu Agency quoted local sources as saying that the airstrikes were conducted against Houthi sites by the coalition forces in Al-Hudeidah's Hays district.
At least five civilians were also killed in Mawzi district in southwestern Taiz province in a separate airstrike by the forces.
According to a statement read out on Houthi TV, Yemen's interior ministry announced the "killing" of "Saleh and his supporters".
"This is after he and his men blocked the roads and killed civilians in a clear collaboration with the enemy countries of the coalition," it added.
Before killing Saleh, Houthi rebels reportedly blew up his residence in Yemen.
Also, the Iranian embassy in Yemen was set ablaze after a mortar shell struck amid the rebel fighting.
Both Saleh forces and the Houthi rebels are battling to capture the capital city. The loyalists of Saleh last week had proposed for the talks with the Saudi-led coalition fighting the Houthis to end the three-year conflict in Yemen.
The fighting has claimed more than 10,000 lives since then. The United Nations has described the Yemen conflict as the world's worst humanitarian crisis. (ANI)