Putin can try groveling like
I have hard time imagining that, he must grow in exponential piety, humility and love for Russia to even imagine it or consider it. If a Patriarch would suggest such a think, he would most likely arrest him or worse. Poison him or throw out through a window.
He is petty, vengeful and has a golden toilet. Goblin "King" on his throne while Russians die for him to make Ukraine suffer.
He is hardly on par with
Tsar or Austrian Kaiser
If he is deposed by a Russian military coup-de etat and them smartly placing a political option with little power or general backing and force the new leader (puppet of the military basically) to travel to every single Slavic state while having a truce with Ukraine at least. Making ceremonial gesture that would increase respect for Russias new leadership (Like pilgrimage to Częstochowa, drinking beer from city to city in Czech Republic, hiking in Slovak mountains with Slovak celebreties, inviting to Slivovica drinking contest at the Serbian-Croatian border)
I mean, lot's of possibilities. Russians simply unable to grab them