Buy tickets and join the fans at a game at Dr. Constantin Radulescu Stadium. If there's nothing on while you're in the area, you might like to check if they offer a tour of the grounds.
You'll find this sporting facility in Cluj-Napoca. Once you've explored all you can at Dr. Constantin Radulescu Stadium, head to nearby Unirii Square, Avram Iancu Square, and St. Michael's Church.