The Barcelona chief did however, underline that the club does not want him to join a side competing in the Champions League.
Turan was under the impression that he would not be loaned out but Bartomeu stated that he wants the Turkish international to be match fit by the turn of the year.
Barcelona president Josep Maria Bartomeu says that new signing Arda Turan could be sent out on loan until January 2016.
“This is a possibility but the final decision must be made by coach Luis Enrique and it must be a purely technical decision,” Bartomeu told RAC 1.
“It must be a team not playing in the Champions League.”
The Turkish international would not be unlikely to join Chelsea but could move to United for six months should the Red Devils fail to secure a place in the Champions League group stages.
“He intends to leave Spain this summer. It is his will to go out to play in the Premiership, that is where he would like to continue his career at this time,” Bulut told AS.
“His departure from Atletico is not easy because he has a clause of €41m. There are ongoing talks with three teams at the moment. I cannot say their names, but they are the best of England and European football.”
Barcelona would be reluctant to allow Turan to join a La Liga rival an he is keen on playing in England which could suggest a brief Premier League move if an offer is made.
There has also been talk of a Galatasaray move but it would be unlikely considering the Lions have booked a place in the Champions League group stages.