Besiktas target Old Trafford forward.
The Mexican international spent last season on loan at Real Madrid and appears surplus to requirements at Old Trafford and as such may be tempted by a move to Besiktas.
Last term Bestikas had for a time lead the Super Lig table but finished the campaign in third spot and were indebted to the 18 goal haul provided by Demba Ba.
However the former Chelsea man has left to join Chinese Premier League side Shanghai Shenhua, leaving a big void to fill.
Hernandez could follow former team-mates Robin van Persie and Nani to Istanbul, with the Man United pair having completed moves to join Fenerbahce this summer.
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Chicharito has bagged 37 goals in 102 Premier League appearances, of which 53 were from the bench, and when called upon during his loan spell at Real Madrid in 2014/15 the 27-year-old was not found wanting.