It has been reported that Swansea have made an official approach for the former Chelsea midfielder.
Premier League club Palace have enquired about the situation of the former England Under-21 international, with another team from the English top flight and a Bundesliga outfit interested in the 23-year-old, according to the report.
It has been claimed that Palmer is not happy at his current lack of playing time at City and is open to leaving the Championship club in the January transfer window.
Palmer joined City from Chelsea in the summer of 2019 for a transfer fee reported by Sky Sports to be worth £3.5 million after a loan spell at the Ashton Gate Stadium.
So far this season, the 23-year-old midfielder has made 11 starts and eight substitute appearances in the Championship for City, scoring one goal and providing three assists in the process, according to WhoScored.
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