The statement continued:
"Those who use sporting arenas to declare theirown personal political, or any other, position have no place in the stands.
"In this regard the RFU and the Russian national team strongly request all true fans to reject the provocative actions of hooligans and offer full co-operation to the organisers of matches in respect of the provision of security.
"We are addressing all fans who are in Poland. Remember that you represent your country. Respect yourself, your homeland and your team."
England coach Roy Hodgson has made his clearest statement yet on the reasons for leaving Rio Ferdinand out of his Euro 2012 squad.
The Russian Football Union has called for fan unity following the news that UEFA have opened disciplinary proceedings against Russia.
The head of the British police contingent at Euro 2012 has urged Ukrainian officers to "make an example" of isolated racist incidents.