The report claims that Barcelona have transfer listed Turan and that he has a number of suitors across Europe including the Gunners and the Bundesliga giants.
Dortmund are in pursuit of a replacement for Mkhtarian while Arsenal have been linked with Turan since last summer.
United have however, pulled out of the race following the singing of Mkhtarian from Dortmund.
The 29-year-old midfielder wrapped up the season with having found the back of the net twice and and three assists in 810 minutes of La Liga football.
Turan was however, given just 46 minutes of playing time by Barcelona manager Luis Enrique in his last four league matches .
The bearded winger made just nine starts for Barcelona but he still managed to achieve the highest pass accuracy in the team at 92 percent.