Purchase a ticket and join the crowds at a game at Ion Oblemenco Stadium. If there's nothing happening while you're there, you might like to check if the stadium offers a guided tour of the grounds.
You're spoiled for sightseeing choice in Craiova. Ion Oblemenco Stadium is a good place to kick off here, but there are lots of other fine spots to enjoy. University of Craiova, Dolj County Hall, and Nicolae Romanescu Park are not far from the sporting facility and will top off your day nicely.