The 32-year-old joined Everton on a season-long loan from Manchester City on transfer deadline day after finding himself surplus to requirements at the Etihad Stadium.
Barry admits he has found it easier to settle at Everton than he did at City after joining them from Aston Villa in 2009.
"It's only the second transfer in my career. Certainly at City it took me a lot longer to feel part of the team and part of the club but here it has felt that bit different," Barry told the club's official website.
"Everybody has welcomed me in and the manager has suited my style, so I think that played a big part in me fitting straight in. Obviously positive results help as well.
"It's been a mixture of things but I've felt part of Everton straight away."
Barry has impressed since his arrival on Merseyside and he has thanked the Everton fans for taking to him so well.
"The job I do is an unspectacular one so maybe the Everton fans have the ability to look at the game a bit differently to fans at other clubs and appreciate what I do," added Barry.
"But it's great to hear that you're being appreciated for the job you're doing. I enjoy that sort of role.
"It doesn't hit the headlines as much as your attacking midfielders or your strikers, but for me it's about doing a job and if the team is successful I'm reaping the benefits of that."