Still eligible to feature for Baník's U19, Svěrkoš enjoyed his breakthrough in the Gambrinus liga, the best Czech division, for the Silesian city outfit after the departure of Milan Baroš.

His record of 14 goals in just 26 first-team appearances for Ostrava and similar performances in the Czech Republic national under-21 football team got German club Borussia Mönchengladbach interested.

Mönchengladbach had been unable to extend the half-a-season loan of Chelsea's Mikael Forssell, the team's top scorer in 2002–2003, in those times and regarded Svěrkoš a potential long-term replacement for the Finland international.

Even this change of environment did not work for Svěrkoš and though he was facing uncertain times with Hertha BSC unwilling to buy him and Mönchengladbach, to whom he had to return to at the end of the season, seemingly willing to finally sell him to another club.

This caused several clubs to be interested in signing him after UEFA Euro 2008, but Svěrkoš spent the rest of the year in Ostrava, in December 2008 he agreed to transfer to French Ligue 1 side FC Sochaux.