England international Wright-Phillips, 29, is surplus to requirements at the Etihad Stadium and City boss Roberto Mancini admitted he is open to offers for the former Chelsea star.
Up for grabs: Manchester City are willing to offload winger Shaun Wright-Phillips
Stoke already have two first-choice wingers in Matthew Etherington and Jermaine Pennant but manager Tony Pulis wants to provide competition ahead of a busy season with the Potters also challenging in Europe.
City are said to want ?2million for Wright-Phillips, a fee Bolton boss Coyle is stalling on due to added problem of the player's wages.
Tall order: Stoke are interested in Tottenham striker Peter Crouch
But with the wealthy backing of owner Peter Coates, Stoke - who signed free agent Matthew Upson on Tuesday - are said to be confident in striking a deal.
It is also understood that ambitious Stoke have also launched a final raid for Tottenham duo Palacios and Crouch.
On the move: Stoke are also keen on Spurs midfielder Wilson Palacios
Pulis wants to add steel to his midfield and find goals in attack after a deal to bring West Ham striker Carlton Cole collapsed earlier this summer over personal terms.
Tottenham's interest in ?35m-rated Porto striker Hulk could pave the way for Crouch's departure while Palacios has fallen out of favour at White Hart Lane.
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