The announcement comes after an escalation in Israeli attacks on Syria last week, including a strike that landed just 500 metres (1,640 feet) from the presidential palace in Damascus on Friday.
Israel claimed its most recent air strikes were a response to what it described as threats to the country’s minority Druze community.
“There are indirect talks with Israel through mediators to calm and attempt to absorb the situation so that it does not reach a level that both sides lose control over,” al-Sharaa said, reiterating blame on Israel over what he described as its “random interventions” in Syria.
He also added Damascus was talking to states that communicate with Israel to “pressure them to stop intervening in Syrian affairs and bomb some of its infrastructure.”
There was no immediate comment from Israeli authorities.
Al-Sharaa’s remarks come during a landmark visit to Paris, his first trip to a European country since assuming office after he led opposition fighters in a lightning offensive that toppled longtime ruler Bashar al-Assad in December.