The 23-year-old Croatia Under-21 international has spent the majority of his senior career in Italy having joined Catania as a youth player in 2012.
Petkovic subsequently spent time out on loan with the likes of Varese, Reggiana, Virtus Entella, before moving to Trapani ahead of the 2016-17 season.
Bologna snapped him up 12 months ago and he has made 10 appearances so far this season, providing one assist.
However, Petkovic will now look for regular game time with a struggling Verona side, who currently sit second-bottom in Serie A and are two points adrift of safety.
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