The 19-year-old has impressed during his time with the Scottish Premiership side.
The talented winger agreed to join Ronny Deila's side on an 18 month loan deal during the January transfer window, but with the Norwegian set to leave Parkhead at the end of the campaign, he will spend his only full season with the club working under a different boss.
But the former Fulham prospect explained how his time at Craven Cottage has prepared him for the change in leadership, and thus, he is well aware of what he needs to do in the coming months.
"I think I had about four new managers when I was at Fulham so they come and go, it is part and parcel of football," he told The Scottish Sun.
"My priority has always been to try to impress the manager and whoever it is I will try to do so.
"The club picks the manager and you have to work yourself into the team. To improve myself is key."
Roberts has been at his best for the Hoops when he appears to have been given licence to play his natural game, using his skill and trickery to get the better of the opposition.
For that reason, the next Bhoys boss may find that he will be one of the easier players in the squad to manage if he decides to simply tell him to concentrate on his own game.
However, if the new manager wishes to see more disciplined performances from the 19-year-old, it may be more difficult for Roberts to make the impact he has threatened to make at Celtic Park.