That resulted in a number of clubs - both home and overseas - being linked with a move for the 26-year-old, but it soon became apparent that the Londoner was strongly considering a short move across the capital.
'It feels good, it feels special, ' Wilshere told the club's website.
"I've got good memories of my childhood supporting West Ham, watching them at Upton Park".
West Ham have also been linked with Borussia Dortmund winger Andriy Yarmolenko, with the German side willing to let the 28-year-old go for around €20 million.
"I think it was a number of things the manager being one and the way he wants to play and where he sees me playing", Wilshere said.
"Jack is a player with vast experience and quality at the highest level, having played all of his career in the Premier League".
Wilshere - whose contract ran out at the end of June - chose to look for a new club when new Gunners manager Unai Emery told him he would not be a first choice next season.
Whilst the photograph doesn't reveal too much, it shows just how much Jack Wilshere retains affection for the Hammers, becoming apparent it would be his club of choice now that his contract has expired.
Despite being a West Ham fan, Wilshere came up through the youth ranks at fellow London side Arsenal, having joined them as a nine-year-old.
Furthermore, he still remains the youngest debutant for the Gunners, making an appearance against Blackburn Rovers in 2008 at the tender age of 16 years and 256 days.