The title-holders will have to make do without the energetic, versatile Australia international following confirmation of his move to Russia
Franjic, 26, has been expected to leave the A-League champions for several weeks, with the Russian Premier League club revealed as his likely destination by R-Sport.
"Today's announcement is the result of four weeks of negotiation with Ivan's new club and we're satisfied with the final structure of the deal," Brisbane Roar managing director Sean Dobson said in a statement.
"This is a fantastic opportunity for him to continue his career development by playing in an overseas league."
After excelling in both midfield and defence for the Roar last season, Franjic started at right-back for Australia during the FIFA World Cup in Brazil, before a hamstring injury suffered in the opening game forced him to leave the tournament prematurely.
In the absence of Franjic, Jack Hingert is likely to start at right-back for Mike Mulvey's team as they seek to defend their title in the 2014-15 season.