Kuzmanovic has become increasingly frustrated at his failure to earn a place in the starting XI and now wants out, either in January or when his contract expires at the end of the season.
The 25-year-old, who joined Stuttgart from Fiorentina for a club-record
Kuzmanovic was an unused substitute in Stuttgart's first home win of the season at the weekend - a 2-1 victory against Eintracht Frankfurt - and Bobic hinted he would not stand in the player's way should he want to leave.
"I can understand the disappointment when a player is only a substitute," he said in remarks reported by www.kicker.de
"But the way he did it was counterproductive. This does not show a lot of team spirit."
Kuzmanovic, capped 46 times by Serbia, should have little trouble in finding a new club having reportedly rejected the chance to return to Serie A in the northern summer.
Manuel Pellegrini insists his Manchester City side will not be distracted by its UEFA Champions League tie against Barcelona when they take on FA Cup holder Wigan on Monday (AEDT).