The report claims that Fenerbahce want to sign Mata on a loan deal over the summer transfer window as United are reluctant to let the Spanish international leave on a permanent deal.
The Yellow Canaries are reported to have met with representatives of Mata but a deal has yet to be reached.
Mata has been in decent form for United this season scoring eight times and providing nine assists in 45 appearances in all competitions this season.
The 27-year-old is however, expected to leave United this summer if Jose Mourinho replaced Louis van Gaal. The Spanish international and Mourinho clashed at Chelsea before Mata joined United.
Van Persie and Nani are both in great form for second placed Fenerbahce this season having scored, 15 and 10 goals, respectively.