Relegation-threatened Livorno have sacked Domenico Di Carlo after just 88 days in charge and re-appointed Davide Nicola.
Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
The 24-year-old is out of contract at the end of the season, and the club have approached him to open talks.
But the versatile midfielder has thus far rebuffed their offers to open dialogue.
"In any contract talks, a change of management will stall things because the new manager needs to see who he wants," Colback told the Sunderland Echo.
"And, with the position we are in in the league, it's not really at the forefront of anyone's mind.
"I have been approached [to restart talks] but I said I would just be patient and see how it went.
"But I'm hoping to get something sorted."
Colback insists that the most important thing is that he helps Sunderland out of the relegation zone.
"The most important thing is that we get out of trouble," he said.
"We've won two out of our last three games to give ourselves a chance and it's important we follow that up by bringing points home from Stoke this weekend."