Wilshere will go up against the Ivory Coast international defender this weekend when Eboue returns to North London with Galatasaray for the Emirates Cup.
He told the club's official website: "He was a special character, he was good around the dressing room.
"Even if he was upset that he wasn't playing, he kept everyone's spirits up and was a happy guy.
"He is missed and it will be good to see him around the place. A few of the fans will be happy to see him as well."
Eboue played 214 times for Arsenal during seven seasons in the Premier League.