Following his departure from Arsenal towards the end of June, the 26-year-old is presently a free agent and was set for a move to Fenerbahce according to reports.
"My family and a few of my friends are West Ham fans so everyone's buzzing".
Wilshere had been hampered by injuries in recent years and spent the 2016-17 season on loan at Bournemouth. He will join up with Pellegrini's squad for their pre-season training camp in Switzerland.
A graduate of the Gunners esteemed academy, Wilshere in 2008 became the club's youngest ever league debutant at the age of 16 years and 256 days.
"I think it was a number of things", he confirmed, "the manager being one and the way he wants to play and where he sees me playing".
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The lawsuit also claims that the crewmember was sacked when he refused to sign papers saying he wouldn't sue over the incident. According to the suit, Brooks still didn't react, and Depp's bodyguards physically removed the actor from the scene.
Mario Husillos, director of football at West Ham, said he and Pellegrini had made Wilshere's signing a priority once they knew he would be available.
West Ham finished 13th in their last campaign.
In a conversation with the West Ham boss Manuel Pellegrini the midfielder now looks set to stay in England by signing a three-year contract worth £100,000 per week.
Wilshere's leadership skills have been recognised by some of football's biggest characters, as the England worldwide wore the armband many times for Arsenal during his tenure there. But he was still left out of Gareth Southgate's World Cup squad and will be hoping that more regular playing time in the Premier League will put him back in contention for the England team.