Zarqawi, who has US$25 million-bounty on his head, is believed to have been wounded, but the severity of his wounds are not immediately known.
Iraqi Foreign Minister Hoshyar Zebari told CNN that unrest was likely to continue even if Iraqi or US forces capture Zarqawi.
Iran, which fought a war with Saddam's Iraq between 1980 and 1988, announced on Sunday that Tehran had handed over its accusations against the former Iraqi dictator to the court that will try him, according to state television.
The Iraqi government said on Sunday it would bring 12 charges of crimes against humanity against Saddam although there were more than 500 possible cases against the ousted dictator.
"We are completely confident that the 12 fully documented charges that have been brought against him are more than sufficient to ensure he receives the maximum sentence," said government spokesman Leith Kubba.
Saddam, whose regime was toppled in April 2003 and who is now in US custody in Iraq awaiting trial, could face the death penalty if found guilty.
His trial should begin within two months, Kubba said.
Saddam faces a litany of accusations, including a 1988 chemical attack on the Kurdish village of Halabja, the fierce repression of a 1991 Shiite rebellion and the 1990 invasion of Kuwait.
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