Walcott, 24, is the longest-serving player at Arsenal.
Yet seven years after joining the club from Southampton for £12million, he is still waiting for his first winner's medal.
Walcott, who is on a four-day Gunners training camp here in Japan, added: "First and foremost, I want to repay the manager for the faith and belief he has showed in me.
"He's given me the chance to go from playing in the Championship to playing in the World Cup. And the best 'thank you' would be a trophy."