Anisimov has served as a member of the administrative council of Rossiysky Kredit and one of many "Russian oligarchs" named in the Countering America's Adversaries Through Sanctions Act, CAATSA, signed into law by President Donald Trump in 2017. Anisimov responded to the sanctions by saying this was a pity but given the right conditions Russia and the United States could work closely together, "reason must win; it's only a matter of time."
