The 18-year old made the move to the Emirates from Southampton, just like Walcott did in 2006, and his more established England counterpart feels there is a spot for him in Fabio Capello's roster for the Poland and Ukraine tournament.
"Alex has definitely got the potential to be there [at Euro 2012]. I don't think I deserved to go to the World Cup in 2006 but I hadn't played any games in the Premier League while Alex has played in the Champions League," he told Arsenal Player.
"He knows he has a lot to learn but he is showing very good signs at this moment in time."
He added: "When you get the opportunities [as a teenager] you have to grab it with both hands and he has done that.
"He's shown what he can do in the Carling Cup games and the Champions League. He's got a good head, he wants to learn, and that's very important.
"He's very relaxed as well and that does him a big favour because he fits in well."