There is no basis for this claim
“Groups like the U.S.-Russia Forum, which are clearly sympathetic to Russia’s interests, are clearly seen as prime recruits for this propaganda campaign. Even though these groups are not front organizations of the Russian government, they are reliably supportive of an accommodating stance toward Russia. In Putin’s Russia, such groups might be branded a ‘fifth column,’ but fortunately in the United States there is a long tradition of tolerating such organizations …”
We contacted various Russian groups and organizations in the U.S., including human rights watchdogs and the Russian Orthodox Church, and none confirmed the claim. The Russian Embassy has not responded to our multiple queries.
Source: Moscow’s Ambassador Claims Russophobia Victimizes Russian-Americans — ‘No,’ says Diaspora