The 26-year-old currently plays for Norwegian side Aalesund and has enjoyed a bright season, scoring five times and contributing three assists for the side currently situated in the relegation play-off place in the top flight.
His form saw him called up to the Ghana senior side for the first time in September, and he marked his second cap by scoring his first goal during the most recent international break - and that appears to have attracted the attention of a number of sides.
The Sun reports that the Baggies, Owls and Hoops are all keen on pursuing a deal for the wide-man - who holds a European passport having been born in the Netherlands - but they face competition from the likes of Middlesbrough, Cardiff City, Swansea City and Bristol City for his signature.
While only one player has scored more often than Gyasi this term for Aalesund, and only one has contributed more assists, it is surely something of a gamble for any of the seven sides to pursue a deal.
Gyasi's career in the Eredivisie before his move to Norway was unspectacular, so it is difficult to know how well he would do if he was to move to either of the top two tiers in English football - and the amount of interest in him may perhaps see his asking price rise if a bidding war begins to ensue.
But if the likes of West Brom or Sheffield Wednesday could land him for £2 million and he manages to replicate his current form following a move, then, of course, the deal will quickly begin to look like an absolute steal.