Turkey international Turan joined the Catalans in 2015 from Atletico Madrid in a deal worth close to 40million euros but he has failed to cement down a regular starting position since arriving.
He has only made 23 La Liga starts during his time with Barcelona and it now appears the 30-year-old will be leaving in the New Year after his agent confirmed there are several clubs in talks.
"It's not clear right now where he is going but he will leave from Barcelona in January," Bulut told reporters. "We're talking with three or four teams from Spain, Italy and England. There is no contact with Galatasaray. After 15 days we'll make a final decision. There are two options: he will be sold or loaned."
Premier League outfit Arsenal have been linked with Turan in the past and there were recent claims suggesting Barca would offer the Turk, along with money, for Gunners ace Mesut Ozil.