The 21-year-old returned from injury and played a key role in the club's fight to avoid relegation as they finished 14th on the log.
"I can't confirm now if I can finish my contract with Bologna because I had a motive before joining them," Donsah told Sunyani-based Space FM.
''My motive was to play only two seasons of the contract that I signed with them and probably look elsewhere for fresh challenges.
"Then, the injury I picked up prior to the start of last season affected me seriously but I know what I did after returning from the treatment room wasn't bad. At least, I paid my dues to help the club in achieving the set targets for the previous campaign.
"However, I may leave Bologna ahead of next season because there are several offers from interested clubs on the table but everything concerning my future will be determined later," he added.
Goal understands that Torino have made a €10 million offer to Bologna for the youngster who was part of Ghana's squad that participated in the 2015 Fifa Youth Tournament in New Zealand.