The former Premier League boss also believes Euro 2016 is the time for manager Roy Hodgson to go with youth.
The young midfielder has started the season in fine form for the Toffees, with a number of assists and several goals earning him his latest England caps.
He was the star of the show in England’s final two Euro 2016 qualifying games, with two fine displays against Estonia and Lithuania seeing him bag a goal and an assist.
And Redknapp believes he should be a central figure in Roy Hodgson's plans as attention starts to shift towards next summer's European Championship in France.
“He looks a real player, he’s a real talent. I think he’s a lad that you get in the team now and build the team around him,” he told talkSPORT.
“He’s got fantastic ability, let him have a go and let’s see what he can do. He could be a real player for the next eight or nine years for England. I hope he gets a real run in the team now.”
The former Premier League boss also believes that now is the time for England to start blooding their most talented youngsters in general.
Hodgson has a number of young stars at his disposal as the Three Lions continue to move forward, with Barkley joined by Everton teammate John Stones, while the likes of Harry Kane, Raheem Sterling, Dele Alli, and potentially Luke Shaw are all pushing for places as well.
And Redknapp believes that after using experienced players in previous tournaments, the European Championship in France next year is the perfect time to go with stars of the future.
"It’s a good group of young players and that’s encouraging,” he added.
“Overall it’s a good looking young squad of players which looks good for the future. We’re in a situation now where we’ve gone tournament after tournament and experienced disappointment, let’s give some of the young lads a go now.”