Bancroft says he looks forward to the day he can open the batting alongside Warner again, insisting there is no "bad blood" between the pair after he accused the former Test vice-captain of leading him astray in Cape Town.
The 26-year-old Bancroft, who has completed his nine-month ban for the cheating, confirmed in an explosive television interview last month it was Warner who asked him to alter the ball.
"Absolutely. We're good people, very honest and passionate people", Bancroft told reporters.
Bancroft produced his best score in four Big Bash League matches since returning from his ban when he smashed 59 of 42 balls in a match-winning knock for the Scorchers against Melbourne Stars at the MCG.
While Bancroft's ban elapsed late last month, meaning he is again eligible to play professional cricket in and for Australia, Warner and Smith's suspensions don't run out until March 29.
Cameron Bancroft and David Warner in 2017.
"Dave, like Steve (Smith), all of us, we've all gone through our challenges, haven't we, and we've all been there for each other".
"I look forward to a day like that where I can go and play cricket with Dave again. He's a quality cricketer and someone who has achieved so much in that cricket team", he was quoted as saying by Sydney Morning Herald.
"As a player like myself, you strive to be able to be around guys like that".
Bancroft signed autographs and took selfies with fans following the game, but said he wasn't sure whether the public had yet forgiven him. "For my own learning as a cricketer, I'd love for that to happen". That's really all I can control. "Those other opinions, that's for other people to control".
"I go out there with a smile on my face, enjoying my cricket, and those other sorts of distractions I guess are well and truly out of what I can control".
He read the squad announcement on Wednesday afternoon while flicking through his Facebook feed and faces an uphill battle to work his way back into calculations for the Ashes series in England.
Whether Bancroft joins them will depend on his performance in the second half of the Sheffield Shield season, with Marcus Harris, Joe Burns and Matthew Renshaw among the contenders vying to partner Warner at the top of the order.
"I'll certainly be looking to do that".
"I just love playing cricket - regardless of the Ashes, it was something I was really keen to do", Bancroft said about his decision to move to the Emirates Riverside.
Former Australia coach Darren Lehmann, who resigned in the wake of the ball-tampering scandal, tipped Bancroft to work his way into Ashes squad contention.