American Samoa, Motu O Fiafiaga, has an independent government and, as such, its own visa policy. For example, a US visa or ESTA cannot be used to enter nor can a visa be obtained through any US embassy or consulate, but only through direct application to Attorney General's Office in American Samoa.
There is no evidence that the Government of American Samoa has made any such pronouncement regarding Russian nationals. It suggests that the individual has made an unsubstantiated and spurious claim. The American Samoa goverment has the right to deny visa applications, as it sees fit.
Under the auspices of the Department of Legal Affairs (Attorney General's Office) the Immigration Office enforces the lawful entrance into the Territory of American Samoa. They are tasked with protecting the borders and regulating travel to and from the Territory. American Samoa is the only United States Territory that has retained oversight of its own borders. Immigration officers are stationed at all ports to ensure all travelers entering American Samoa have proper travel documents. The main office is located on the first floor of the A.P. Lutali Executive Office Building in Utulei.
Department of Legal Affairs
Executive Office Building - 3rd floor
Phone: (684) 633-4163 or 633-4164
Fax: (684) 633-1838
Utulei Phone: (684) 633-4203 or 633-4204
Tafuna Phone: (684) 699-9129
email address for Attorney General's Office - firstname.lastname@example.org