Di Canio was sacked last Sunday evening after a disastrous run of results, and it later emerged that a furious showdown in the dressing room following the 3-0 Barclays Premier League defeat at West Brom and another at the Black Cats' Academy of Light training ground.
Asked if the players had felt the need to have their say over Di Canio, he told the Sunderland Echo: "That was obviously done. But we have to move on now.
"Because of the position we are in the league, we can't keep going back to it. We have got some difficult months ahead.
"Whoever comes in, whether it's Bally (interim head coach Kevin Ball) or a new manager, we have got tough times ahead.
"We have to stick together and if we keep going back to it, it will soon be too hard to pull back from where we are.
"Without a doubt Kevin Ball has made an impact. If it does happen (he gets the job), the players would be very happy.
"But we will wait and see what the club decides."