Trump has repeatedly expressed a desire "to solve issues with Russia, to have good relations with Russia", Russian Foreign Minister Sergei Lavrov said in the interview, published by state news agency RIA Novosti.
It comes as President Trump invited his Russian counterpart to the U.S. during a phone call, and said he would be glad to see Mr Putin in the White House, according the Russian foreign ministry.
Britain and France joined the United States in the strikes in a coordinated operation that was meant to show Western resolve in the face of what the leaders of the three nations called persistent violations of worldwide law.More news: Leinster 38 Scarlets 16 - Cullen's charges book Champions Cup final spot
US President Donald Trump (L) chats with Russia's President Vladimir Putin as they attend the APEC Economic Leaders' Meeting, part of the Asia-Pacific Economic Cooperation (APEC) leaders' summit in the central Vietnamese city of Danang on November 11, 2017.
A Russian official said Wednesday that the country's response to recent US sanctions would be "precise and painful", Reuters reported.
The call took place soon after the U.S. joined the United Kingdom in blaming Russia for the poisoning of a former Russian spy and his daughter in the UK.
Russia-US relations have sunk to post-Cold War lows over the Ukrainian crisis, the war in Syria and the allegations of Russian meddling in the 2016 US presidential election.More news: Brokerages Set Lockheed Martin Co. (LMT) PT at $376.96
"Russia immediately began a misinformation campaign to sow doubt and confusion to hide its complicity", White said following the recent missiles strikes.
In an interview with the BBC last week speaking on the same matter, Lavrov said, "whatever is required to help the Syrian army to deter aggression, we would be ready to consider".
"Now, we have no moral obligations", he said.
Russia's deliveries of the S-300 air defense missile systems to Syria will contribute to the political stability of the Syrian government, Samer Shiha, a member of the Syrian People's Assembly, told Sputnik on Friday.More news: Siddaramaiah to contest from 2 seats in Karnataka assembly polls 2018
"Now we don't have this moral obligation any longer".