Ahmadinejad reportedly raised the issue of a cease-fire during a recent meeting with Turkish Prime Minister Recep Teyyip Erdogan, he said during an interview with the state-run Islamic Republic News Agency on Wednesday.
The move has been backed by new U.N.-Arab League envoy, Lakhdar Brahimi, who replaced former envoy Kofi Annan earlier this year.
Annan left his post in August, months after a Syrian peace plan orchestrated by the former U.N. secretary-general was deemed a failure.
The former envoy was also critical in barring Iran from participating in any of the international talks regarding his Syrian peace plan.
The White House and Pentagon have also been highly critical of Tehran's continued efforts to prop up the Assad regime in the face of growing violence across the country.
Obama administration spokesman Jay Carney accused Tehran of engaging in "malignant behavior" in its attempts to prolong Assad's brutal assault on the Syrian people earlier this year.
Iran and Russia, which views Syria as its stongest ally in the Middle East, have been the primary supporters of Assad's campaign to bludgeon anti-government forces into submission.
Last Thursday, Turkish fighters forced a Syrian commercial airliner suspected of carrying a large shipment of Russian-made weapons and munitions into Damascus to land in Turkey.
Government officials from Ankara confiscated 10 boxes from the plane's cargo hold before allowing the airliner to continue its flight into Syria.
In May, Tehran also allegedly attempted to smuggle a large arms shipment into Syria aboard an Iranian commercial airliner.
The weapons were destined for Syrian government forces under the orders of senior commanders in Iran's elite Revolutionary Guard, according to reports at the time.