Brighton, Crystal Palace, Leeds and West Ham have all been linked with January moves for the England under-21 international, as have German outfit Bayer Leverkusen.
Graham Potter remains keen to bolster his strike force and the club have also allowed Aaron Connolly to leave on loan to Middlesbrough and Jurgen Locadia has sealed a permanent move to Bundesliga outfit Bochum for an undisclosed fee.
It leaves Albion light on attacking options and many fans see Nketiah as the ideal solution.
Palace boss Patrick Vieira is also said to be a huge admirer and is keen to raid his former club to land the 22-year-old who has struggled for Premier League game time at Arsenal.
Scroll down and click through to see who is winning the race to sign the hotshot. Latest odds from betvictor.com
![The Canaries are an outsider at 25/1 to land the Arsenal man](https://www.thestar.co.uk/webimg/T0FLMTM1ODY5Nzk1.jpg?crop=3:2&width=640)
1. Norwich City
The Canaries are an outsider at 25/1 to land the Arsenal man
![Brendan Rodgers men are also at the back of the pack and are 25/1](https://www.thestar.co.uk/webimg/T0FLMTM1ODY5Nzk2.jpg?crop=3:2&width=640)
2. Leicester City
Brendan Rodgers men are also at the back of the pack and are 25/1
![The Hammers previously expressed an interested but are drifting at 20/1](https://www.thestar.co.uk/webimg/T0FLMTM1ODY5Nzk3.jpg?crop=3:2&width=640)
3. West Ham
The Hammers previously expressed an interested but are drifting at 20/1
![Have struggled to replace Danny Ings but are not among the favourites at 20/1](https://www.thestar.co.uk/webimg/T0FLMTM1ODY5Nzk4.jpg?crop=3:2&width=640)
4. Southampton
Have struggled to replace Danny Ings but are not among the favourites at 20/1