Is it correct to say 'I am routing for you' or 'I am rooting for you' which is the correct question?

Well, honey, it's 'rooting for you,' not 'routing for you.' Unless you're talking about setting up a GPS for someone, then by all means, 'routing' away. But if you're cheering someone on, it's definitely 'rooting.' Now go out there and show them who's boss!