The 32-year-old has not added to his 53 caps for the national team since missing out on a place in the Euro 2012 squad.
Barry is adamant his form for City last season did warrant a call from Roy Hodgson, but he insists Everton are now is main focus this term.
| BARRY TALKS EVERTON MOVE
|20/1||Everton are 20/1 with Coral to finish in the top four
"That was the downturn and affected my call-ups from there. Last season I still felt I was playing consistently well in a top team to merit call-ups but it's about opinions and other players can affect it too. But right to the end of last season I felt I was playing well enough.
"I spoke to Roy after the last Euros when he wanted to see how my injury was, but then you don't make the squad and you lose touch. I'm fine with that. I don't need explanations every time I'm not playing or in a squad."
Barry made 41 appearances for Manchester City last season, scoring twice, but failed to feature under new manager Manuel Pellegrini before joining Everton on deadline day.