Buy tickets and join the fans at a game at Zenit Stadium. If there's nothing scheduled while you're there, you might like to check if the stadium offers a tour of the grounds.
Located in Shevchenkivs'kyi District, this sporting facility is worth a look. But you'll find tons more to explore in the area. Independence Square, Kyiv Pechersk Lavra, and Saint Sophia's Cathedral are within close reach of Zenit Stadium.