The 24-year-old only signed for the Old Lady last summer after bagging 20 league goals across two seasons with former employers Sassuolo.
But he’s gone on to make just five Serie A starts under Massimo Allegri, alongside a further 14 substitute appearances, to produce five goals.
Despite that, the 6 foot 1 forward claimed a place in Antonio Conte’s squad for Euro 2016 and has made two appearances for Italy thus far, providing an assist from the bench against Sweden and starting in the defeat to Italy on Wednesday evening.
And according to The Guardian, West Ham have already opened talks with Juventus to sign the 13-cap international ahead of a £14million bid.
However, Slaven Bilic’s side face significant competition for Zaza’s signature from Wolfsburg, who have already tabled a £19million bid.