"And if he's a smart person, that means that he will totally and quite quickly understand the different level of his responsibility [as a statesman]".
Trump, who summed his series of tweets on the issue, with "THE UNITED STATES IS OPEN FOR BUSINESS" said it can not be business as usual and warned the companies before taking "a very expensive step".
Mr Putin has spoken previously of his hope that Trump will help restore US-Russia relations, and analysts said he was unlikely to want to dial up anti-Western rhetoric before Mr Trump's inauguration in January.
Speaking about Russia's relations with the West, Mr Putin said attempts to create a unipolar world had failed.
Putin said when building relationships with other countries, Russian Federation would respect their interests.
"Trump was an entrepreneur and a businessman. It is not needed - not by us, our partners, the global community", Putin said during an address on the state of the nation.
Stone extends lead at Alfred Dunhill Championship
But, as in the first two rounds, he found his rhythm on the par 72's back nine and reeled off birdies at 10, 11, 12, 13 and 15 to eat into Stone's lead.
Russia's conservative trend has come in sync with the tightening of controls over the nation's political scene after Putin's election to a third presidential term in 2012.
"As opposed to some of our foreign colleagues who view Russian Federation as an adversary, we are not looking, and have never looked, for enemies".
The post-Cold War relationship between the USA and Russian Federation has been rocky, especially since the Ukrainian crisis and the war in Syria.
In the run-up to the presidential election, U.S. intelligence officials accused Russian Federation of trying to influence the result by hacking the Democratic National Committee. But in Putin's address, he emphasizes that he is ready to mend whatever it is that needs mending with the USA government, especially after Trump's victory.
"We are ready for cooperation with the new American administration", Putin said last week in an address to government ministers, members of parliament and top Kremlin officials. "We share responsibility for ensuring global security and stability and strengthening the non-proliferation regime".
President-elect Donald Trump gestures toward reporters as he arrives for a party at the home of Robert Mercer, one of his biggest campaign donors, Saturday, Dec. 3, 2016, in Head of the Harbor, N.Y. Trump also noted that Obama has not been very nice with Putin and if it were up to Trump, the USA will have a great relationship with Russian Federation.