Purchase tickets to see a game at Padre Ernesto Martearena 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.
When you've finished at this Salta sporting facility, why not check out Virgen de los Tres Cerritos Sanctuary, San Francisco Church and Convent, and Museum of High Altitude Archaeology? They're close to Padre Ernesto Martearena Stadium and also popular with travelers.