The Scottish Premiership side will part company with Ronny Deila at the end of the season.
Mikael Lustig has admitted that Celtic's squad are likely to speculate about who the club's next manager will be, but suggested that it will be an exciting time for the Hoops, The Scottish Sun reports.
The Bhoys' current boss Ronny Deila will take charge of his final game for the club on Sunday, having already announced that he will step down at the end of the season.
And the full-back conceded that it is inevitable that his replacement will be discussed amongst the squad.
"Of course we'll talk about it. No one knows who the new manager is going to be. But it would be strange if we didn't speculate," he told The Scottish Sun.
"There have been a couple of names out there, but we'll see when they announce it.
"It absolutely is an exciting time, with the thought of a fresh start."
While the Sweden international is optimistic about the thought of a new manager, the club's hierarchy will have to make sure that the appointment has a positive impact on the team.
If all of the players are openly discussing the contenders, it may be an idea for the board to take notice of what the squad is saying as it may help create the kind of atmosphere that allows the team to build on their five Scottish Premiership titles in a row, and perhaps make an impression in Europe.
The appointment should also give those on the periphery of the side the motivation to prove themselves to their new boss, which should ultimately encourage the first-team regulars to push themselves also.