Barkley scored Everton's goal in their 2-1 defeat to Arsenal at the weekend, and Wilshere had nothing but praise for the attacking midfielder.
The pair have linked up a number in of times for England's senior squad, and Wilshere says that Barkley is a very special talent.
"He broke into the [England] team two years ago, and everyone could tell he had something special," he said. "This season he has really started to show it - as he's added goals to his game.
"He's one of the most powerful players I've ever played with. He can use his left and his right foot, which is unusual for an English player. The only other player I know who can do that is [Santi] Cazorla. His technical level is higher than most players I've played with. He's definitely got something special."
Barkley's talent has never been in doubt, but his inconsistency has been frustrating for Everton fans in the past.
However, since the start of the 2015/16 term, Barkley has flourished, and he has rapidly becoming one of the Toffees' most important players.
The 21-year-old has scored six goals in 16 appearances for club and country this campaign, and he has arguably been Roberto Martinez's side's best performer to date.
Barkley's good form has not been enough to inspire Everton to a great start to the season though, and the side are currently sitting in 11th place in the Premier League table.