What gene would control "race"? Are you referring to melanin content? Because even that doesn't determine race. Race has no genetic basis
Saying it has no genetic basis is nonsensical. Of course race is genetic. You look like your parents, who look like their parents, etc., who look like other people in the village where they group up. It's in inherited and built into your DNA. And by analyzing your DNA these days, people are able to say with some degree of certainty where your ancestors were from. It's clearly genetic.
However, saying there is no specific gene or even obvious combination of genes that control race is correct, which what you started with.