Walcott and Vardy have both been named in the England squad ahead of the Three Lions' upcoming Euro 2016 qualifying matches against Lithuania and Estonia.
And the Gunners front-man says he has been impressed by Vardy's form for Leicester so far this season, with the 28-year-old's work-rate catching his eye.
Vardy has scored in his last five Premier League matches and already has seven goals to his name in eight appearances.
It is an incredible run of form for the former Fleetwood Town man, and he will be hoping to carry his momentum into the international break.
Vardy is yet to score for England, with his one cap coming against San Marino last month.
It was only three years ago that Vardy was playing non-league football, but he has rapidly risen to the top of the game since moving to Leicester, and now is one of the most in-form strikers in the country.