In Russia, Syria's main military ally, Kremlin spokesman Dmitry Peskov urged against "any steps which could lead to an escalation of tensions".
A tweet from President Trump, which backtracked from his Wednesday warning that missiles soon would be heading toward Syria, further contributed to the sense that the threat of a conflagration was receding.
A year ago, Putin was nurturing hopes for better ties with the USA under President Donald Trump.
He did not say whether France is planning military action against Assad's government.
Russian ships had left the Tartus naval base in Syria, Interfax news agency quoted a Russian lawmaker as saying.
In London, Prime Minister Teresa May said in a statement, "This evening I have authorised British armed forces to conduct coordinated and targeted strikes to degrade the Syrian Regime's chemical weapons capability and deter their use".
The draft law is aimed at protecting Russia's interests and security in the face of "unfriendly and unlawful acts by the United States of America and other foreign states". In Syria, Putin supports Assad in using chemical weapons, bombing schools and hospitals. The West swiftly pointed the finger at the Syrian government, which has denied the accusations.
The inconsistent responses from outside powers may have signaled to Assad that he can continue to use the munitions, so long as he uses them in small amounts without causing mass casualties or generating gruesome imagery.
The allies struck three targets, according to General Dunford: A chemical weapons research centre in the area described as Greater Damascus, a storage facility and a storage facility that also housed a command post. "Could be very soon or not so soon at all!" said Trump in his latest early morning tweet on Thursday. After he cornered the rodent, it turned back on him and attacked.
The Russian ambassador to the United States railed against the US-led coalition campaign against suspected Syrian chemical weapons facilities.
Russian Federation has thousands of troops and military advisers in Syria as well as dozens of aircraft at its Hmeimim air base and 10 to 15 warships in the Mediterranean off the coast of Syria. Their reach was demonstrated in February when an Israeli F-16 fighter jet crashed amid Syrian antiaircraft fire.
The "deconfliction" line was set up as American and Russian forces increased their presence in Syria during the fight against the Islamic State group.
In a reference to the US, he said that it "it would only benefit those who are protected by the ocean and expect to sit there and engage in continuous efforts to stir up the region in order to advance their geopolitical goals". The missiles have a range of up to 450 kilometers (280 miles).
Some reports surfaced on Wednesday that military hardware was being moved from Syrian bases.
Trump did not detail what a strike on Syria would look like, or whether these would be US missiles.
The air defense from the ground responded to the air strikes with anti-aircraft weapons, and over 20 missiles were intercepted. More broadly, he doubted the wisdom of bombing. The Pentagon might also take aim at civilian airports, seaports, chemical factories or refineries, all of which are vital to Syria's already battered economy.
Russia's UN ambassador said yesterday that the priority in Syria was to avert US-led military strikes that could lead to a risky war between Russian Federation and the United States.
No matter what the president authorizes, it will be hard for Washington to enforce battlefield norms in Syria when Trump has called for disengaging from the conflict. Michael Pregent, an expert on Iraq and adviser to senior USA military commanders during the Iraq war, cautioned in a tweet, "Delays allow Assad to move assets to Russian bases", and "any strike at this point is a face saving gesture".