Bancroft was suspended for nine months following the Cape Town Test last year while former Australia captain Steve Smith and his deputy David Warner received year-long suspensions. Bancroft's ban ended in December.
"We all make mistakes and I guess it's how you're able to grow as a person, in admitting and being honest with yourself about those mistakes," said Bancroft, 26, who applied sandpaper on the ball to alter its condition.
"I certainly have been and, as a person, that's something that I'm completely accountable for and I wouldn't have it any other way."
Bancroft, who has represented Australia in eight Tests, has his sights set on regaining his spot in Australia's Test side ahead of the upcoming Ashes in England this summer.
However, his immediate focus is on Durham, where he has been appointed their captain for the County Championship and One-Day Cup.
Speaking at the club's Chester-le-Street ground on Wednesday, the Australian added: "The aspiration to play Test cricket is certainly in my mind and where I'd love to be one day. But I also can't be there. I'm here right now.
"(Playing for Australia) would mean a lot to me, definitely. But I also know that I've got a lot of great things in my life.
"Even just playing club cricket back home in Perth, it's a game I felt like where you get self-absorbed and single-minded in your pursuits to achieve things but at the forefront is just the enjoyment of it all.
"If I do that then I know the results will take off themselves, hopefully. Hopefully it will happen one day."