The 32-year-old completed a temporary move to Merseyside from Manchester City on deadline day after being told that he has little future with the Etihad.
Since joining Roberto Martinez’s men, the midfielder has been impressive, leading to a potential re-call to the Three Lions set-up ahead of next summer’s showpiece tournament being mooted.
And Barry – who last wore the white shirt in 2012 – is keen to win a spot in Roy Hodgson’s squad and is desperate to maintain his solid form.
“It’s something that I definitely wouldn’t be turning down at the moment,” Barry told The Mirror.
“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 travelled to the European Championships last year, but failed to make a single appearance.
Prior to that he represented England in the 2010 World Cup, helping his side to advance from their group before being beaten by Germany.
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