The veteran midfielder believes that the Toffees have a good chance of beating whoever they get in the next round.
Gareth Barry believes that Everton stand a good chance of booking a place in the Capital One Cup final, despite the fact that they are guaranteed a last four clash against a fellow Premier League side, the Daily Star reports.
The Toffees secured their place in the semi-finals after goals from Gerard Deulofeu and Romelu Lukaku helped them see off Championship high-flyers Middlesbrough.
With Manchester City and Stoke also bagging wins - while Liverpool and Southampton are still to meet to decide who completes the semi-final line-up - Roberto Martinez's side will have to see off a top flight rival if they want to secure a place at Wembley.
However, Barry revealed that the side will fancy their chances against whoever they are drawn against (via the Star).
"We don't fear anyone, not over two legs," he said.
"The good thing is that we have a game at Goodison and anyway, away from home our fans make it a special atmosphere.
"We've been playing well away from home as well as at home so we'll worry about ourselves rather than who we are going to play," he added.
The Merseyside outfit are on a solid run of form currently, having not lost in their last six games in all competitions. As well as booking their place in the semi-final, that run has helped the club to ninth place in the league.
Although two of their potential opponents in the last four, Manchester City and Liverpool - should they get past Ronald Koeman's men - sit above the Toffees in the table, their unbeaten run, as well as the form of the likes of Deulofeu, Lukaku and Ross Barkley will give them the confidence that they can get one step closer to bagging their first major trophy for 20 years.