Milliyet says Trabzonspor are keen on Batshuayi, 27, and are seeking a season-long loan deal.
Roman Abramovich is in the process of raising funds with the club eyeing a £135million move for Borussia Dortmund's Erling Haaland.
Batshuayi joined Chelsea in 2016 but has only made 77 appearances for the club.
He has been overlooked by the likes of Antonio Conte, Maurizio Sarri and Frank Lampard, with Tuchel now also not interested in keeping the Belgian around since his return from a loan spell at Crystal Palace.
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