Euthanasia does not appear to be a very lively issue in Russia, although it has appeared in the media from time to time. Recently Archpriest Vsevolod Chaplin, a spokesman for the Moscow Patriarchate gave the position of the Russian Orthodox Church:
The Russian Orthodox Church has condemned euthanasia as a combination of murder and suicide. If a person is not ready to endure sufferings until the end, that's not a position to be delinquent.
At the same time, we know many cases where people, who were not given any hope by their physicians, were cured by God, often by miracle. And that teaches us to keep hope till the very last moment, to obey the will of God and to continue fighting for life. And I think in this case it's much more ethical in a way to maintain man's life and to encourage a person to fight for his life.
It's important to understand that in the modern society there's a serious danger of turning euthanasia into a sort of means of solving economic and social problems.
It's easy to imagine a situation where pressure would be put on patients, who are not economically profitable, in order to persuade them to end their life. Such pressure is absolutely immoral. But there have been voices who were actually calling for such pressure.