The 32-year-old has slipped out of the Three Lions side due to injury and falling down the rankings at the Etihad stadium.
"Every footballer wants to feature in a World Cup and I'm no different," the Liverpool Echo quotes Barry as saying.
"Realistically, though, there's a lot of hard work between where I am now and being in the squad to go to Brazil.
"I didn't make the move to Everton to help my England career, but that would be a massive bonus at this stage. I would have to play well for Everton for that to happen."
Barry, who signed for the Toffees on a season-long loan deal from Manchester City in the summer, has 53 England caps to his name.