The 32-year-old last featured for the national team in May 2012 and although he went to Euro 2012 he did not play a single game.
Barry has had a good start to his season-long loan from Manchester City and he knows if he can maintain that it may attract Hodgson's attention.
"It's something that I definitely wouldn't be turning down at the moment," he said.
"I joined Everton to play regular football and that's still my main target, to get my form going.
"If an England call comes with that, then fantastic, but it's certainly at the back of my mind."
Barry recently became the 10th player to reach 500 Premier League appearances and plans to carry on as long as possible.
"I've always said that I want to play as long as possible and as long as my body and legs allow me to do so," he told evertontv.
"At the moment I'm feeling good and really fit, and I'm hopeful I can play for a number of years.
"But I've always took one season at a time and this season I'm looking at keeping a good run of form going and helping Everton climb the table to see where it gets us."