The 31-year-old defender - who usually plays centrally but has filled in at left back - can leave Spartak for a nominal fee after indicating he won't sign an extension to his contract, which expires in December.
AEK Athens and Real Zaragoza have made him an offer, but the Czech international hopes to agree terms with Birmingham as England is his preferred destination.
Up for grabs: Martin Jiranek (left) battles with former Liverpool misfit Andriy Voronin
The 6ft 3in Jiranek has been at Spartak for six years since a £4.7million move from Italian side Reggina. Bolton 2 Birmingham 2: Slap in the face for Blues as 10-men snatch pointBirmingham's protracted move for Wigan winger N'Zogbia collapsesBIRMINGHAM CITY FC