In a televised message on Orthodox Christmas Day, Patriarch Kirill said it would be a "very bad sign" if the authorities ignored the protesters.
Patriarch Kirill congratulated Russian President Dmitry Medvedev when they met at a Christmas Eve service in Moscow's Christ The Saviour Cathedral on Friday night.
Patriarch Kirill will visit the north-eastern city of Bialystok, capital of the Podlasie region which is home to some 70% of Poland's 600, 000 Orthodox Christians.
BBC: Russian Patriarch Kirill makes historic visit to Poland
The Russian Orthodox Church has apologised for showing a photo of its leader Patriarch Kirill that was doctored to airbrush out a luxury watch he was wearing.
In February this year a photo of Patriarch Kirill meeting President Vladimir Putin - who was prime minister at the time - showed Kirill wearing the Breguet watch.
On Tuesday, 28 September, the Director-General will hold bilateral meetings with local business leaders, with Patriarch Kirill of Moscow and all Russia, and with UNESCO Goodwill Ambassador Zurab Tsereteli.
Patriarch Kirill has described the punk performance as blasphemous and part of a broader attack on the church, which is considered by many Russians essential to their national identity and an intrinsic part of a powerful state.
Turkey even appears to have colluded with the Russian patriarch, Kirill, to limit the powers of the Greek Orthodox patriarch in Istanbul, Bartholomew I, usually seen as first among equals in the Orthodox hierarchy.
ECONOMIST: Turkey and Russia: Old rivals, new partners | The
In a letter to Kirill, the patriarch of the Russian Orthodox Church, Mr Yerofeev apologised for inadvertently hurting the feeling of believers, but blasted the church for siding with a group of anti-Semitic, militant radicals.
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