Russia, which has strong relations with Iran, was a key broker in clinching the 2015 agreement created to stop Iran from building a nuclear bomb.
However, despite its withdrawal from the nuclear deal, the US says it will not stop funding intense International Atomic Energy Agency (IAEA) inspections in Iran, a USA official said Thursday.
"We have established contacts with all parties, and we call for restraint from all parties", said Russia's Deputy Foreign Minister Mikhail Bogdanov, reported the Tass Russian news agency.
Israel's military went on high alert Tuesday and bomb shelters were ordered open in the Israeli-controlled Golan Heights following reports of "irregular activity of Iranian forces in Syria".
President Trump has instructed his administration to reinstate sanctions against Iran immediately.
European Union hurt as USA flexes sanctions muscles
Shares of Boeing closed down $2.06, or 0.6 percent, at $338.37 on the New York Stock Exchange after Trump's announcement. Airbus jets are mainly made in Europe but parts are imported from the United States, requiring its agreement for sales.
Despite their differences, both Israel and Russia have enjoyed cordial relations in recent years, with Israeli Prime Minister Benjamin Netanyahu making frequent visits to Moscow, and Russian President Vladimir Putin keen on highlighting Russia's role in defeating Nazism and its vast Jewish history.
Washington's five other partners in the deal have already taken turns to denounce Trump's attack on the multilateral Iran deal, vowing that they would stick to their commitments under the accord despite the United States withdrawal.
The U.S. government plans to give a 3-6 month window for companies that are now doing business with Iran to pull out of their deals. The Britain-based Syrian Observatory for Human Rights said the missiles targeted depots and rocket launchers that likely belonged to Iran's elite Revolutionary Guard in Kisweh, killing nine people.
President Donald Trump announced on Tuesday that the USA was withdrawing from the 2015 Iran nuclear deal. Moscow, he said, could use its influence on Tehran to that end.
Israel's Defence Minister Avigdor Lieberman has said he hopes fighting with Iran is over, for now. "The Europeans should not have to pay for the withdrawal of an agreement by the United States, to which they had themselves contributed", he said. Iran could have also been induced to stop threatening Israel's existence to reduce the tension and prevent direct confrontation between the two countries, which in fact both sides want to avoid. Mogherini made a direct appeal to Iran to stick with the accord after Trump said Washington was ditching what he called a "defective" agreement.