Thousands of people turned out in Washington to attend the inauguration ceremony of Trump, who took the reins from former president Barack Obama.
Putin also said he hoped that Moscow and Washington could eventually get their troubled relations back to normal.
Under Barack Obama, the US applied various sanctions against Russia for its involvement in Ukraine, the Syrian war and for alleged cyber attacks to influence the US election.
Trump has said he accepted the intelligence agencies’ conclusion that Russia is to be blamed for cyber hacking that interfered with the US presidential election.
In Trump’s era, the United States is bound to embrace Putin’s Russia, while simultaneously severing its ties with China. In an interesting pattern, India enjoys an amicable relationship with Russia and the United States, while having a difficult relationship with China.
The president-elect’s transition team has refrained from commenting on the issue, but Donald Trump tweeted late Tuesday night calling the “fake” news reports a “total political witch hunt”.
The measure is being introduced a day before the US Senate Foreign Relations Committee holds its confirmation hearing for Trump’s nominee to be secretary of state, former Exxon Mobil chief executive Rex Tillerson.
“We will not expel anyone,” Putin said in a statement.
Putin said that Democrats were wrongly trying to blame others for their defeat to Donald Trump on external factors, adding that the party needed to learn how to lose gracefully.
Asked about the report, Putin spokesman Dmitry Peskov on Thursday dismissed it as “laughable nonsense.”
Putin’s live address contrasted with some of his recent speeches, in which he launched scathing attacks on the U.S. and its allies.
Top Russian diplomat and Vladimir Putin’s spokesman said that Russian experts were in contact with some members of President-elect Donald Trump’s staff during the presidential campaign
Putin said that he had a view on whether Britain should leave the EU.
“America is a great power – today probably the only superpower. We accept that,” says Putin.
Putin arrived in Athens on a two-day visit and emerged from talks with the Greek government to lash the United States and NATO allies, also accusing them of stifling trade and energy cooperation with Russia.