English Premier League sides track the star. The 19-year-old only signed a new Ibrox deal at the start of this year to keep him at the Premiership champions until 2023.
However, Record Sport understands that West Ham, Norwich and an unnamed French side have all made an approach for the playmaker.
Rangers have stood firm and shut down any interest so far in the window and and remain keen to keep the talent on their books.
It remains to be seen if he will spend the season in the top flight or will be sent out on loan.Kennedy spent last season on loan at Inverness Caley Thistle and Raith Rovers and impressed during his stint in the Championship.
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