Speaking when the two parties signed the agreement to officially end their relationship at the weekend, club official Osman Celik said the club was wishing Mbesuma well.
Bursaspor are now after 25-year-old Morosso who is at Portuguese side Maritimo.
Mbesuma is among a foreign legion that has been disappointing and is being offloaded from Bursaspor.
The Zambian only managed to feature in six matches, coming on as a substitute, totalling 116 minutes, without scoring. The inactivity largely led to his exit.
His longest stay on the pitch in one match was 45 minutes when he came on as a substitute for Cameroonian Herve Tum against Sivasspor last September. Tum has also been released.
His last League action for Bursapor was a 15-minute spell on December 23, also coming in to replace Sercan Yildirim – a Turkish native.
His inactivity also forced Zambia coach, Patrick Phiri, to omit him from the Zambian squad for the 2008 Africa Cup of Nations in Ghana.
Mbesuma, who had been in the Bursaspor ranks for a year, hardly featured for the Turkish side due to a nagging knee injury after agreeing to a three-year deal in 2007 from English Premiership side Portsmouth.
Mbesuma had two years left to his contract at the Turkish outfit.
Portsmouth snapped up the Zambian striker from Kaizer Chiefs in 2005 but he failed to make a grade and was loaned to Club Sport Maritimo in Portugal during the 2006-07 season.
At Portsmouth, the former Roan United striker played in four matches only.