Get your tickets and join the fans at a game at Metalist Stadium. If there's nothing happening while you're there, you might like to check if they offer a guided tour of the grounds.
When you've finished up at this sporting facility in Kharkiv, why not check out Kharkiv National Academic Theater of Opera and Ballet, V. N. Karazin Kharkiv National University, and Freedom Square? They're not very far from Metalist Stadium and also a favorite with tourists.