The Spaniard has joined the Hammers to replace David Moyes at the London Stadium and he is keen to make additions to the squad this summer.
The east Londoners are set to sign a new striker while strengthening the midfield and defense is also being considered at the London Stadium.
According to Football Insider, four-man striker shortlist that West Ham United and new manager Julen Lopetegui have compiled includes Serhou Guirassy.
Guirassy, who scored 28 goals in as many league games for a Stuttgart team that overtook Bayern Munich on the last day to finish second to undefeated Bayer Leverkusen, lost to Harry Kane in the battle for the Bundesliga golden boot.
The Guinea international just secured a permanent deal with Stuttgart last summer after a fruitful loan from Koln, but it looks probable that he will leave in the next transfer window.
The Stuttgart front man has attracted the attention of some of the top clubs in Europe, particularly in England, including Tottenham and Newcastle United.