Good day Keith.. in my town, I know a few people who come from English-speaking countries and lives here and making a career, by the way they started without the knowledge of the Russian language!
But most of these people do a business, trade and real estate activities ..
regard to language teaching - I think it's possible .. but not immediately .. you need at least understand basic Russian language to enable you to understand the people. I think if you'll live inside the country you will quickly learn the Russian language!
Just need time to find a job teacher, like a native speaker - it is difficult, but possible!