I don't think English teachers are needed that badly. My mailbox (for paper mail) is full of spam offering (among other things) 'learning English in 2 weeks using an advanced method from native Engilsh speakers'. Learning English is not a problem at all here.
Secondly, it's rather hard to get officially employed for a foreigner, because of the law stating that if you plan to employ a foreign person you must prove that you won't be able to find a suitable candidate among residents.
Third. Your income as an English teacher won't probably cover your living expenses (although I can only judge by the number of 'offers' in my spambox - the competition is hard, as I imagine).
There may be some demand for English teachers in smaller cities but your earnings there would be less. Substantially.
If you feel like it, you can try some business here (import some goods from the US), but again, it must be something unique (something that is not made in China )

The best way would be to get employed by an American company who works in Russia and come work here.