The forward is also apparently attracting interest from a Scottish Championship club.
Gyasi, who has one year left on his contract, scored against the Blues this season during his loan spell at Dover Athletic, where he notched five goals in 19 appearances for the league’s bottom club.
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The former Chelsea and Leicester City youth product, who can also play out wide, also hit the headlines when he bagged a treble against Wrexham.
Chesterfield’s rebuild is underway after they released seven players last week.
They offered new contracts to four players and transfer-listed another four.
Chairman Mike Goodwin has revealed that approaches have already been made for new signings.
The Spireites missed out on promotion after losing to Solihull Moors in the play-off semi-finals. But they will be facing the Moors again next season after Grimsby Town beat them 2-1 in extra-time in Sunday’s final.