The Norwegian champions are bottom of Group B with four defeats and effectively out of the competition.
And with the Norway cup final against Stromsgodset on Sunday where Coolen hopes to conclude the domestic season by clinching the double, the club’s interim boss will use his players carefully against the Hoops.
The Parkhead club have the Betfred Cup final against Aberdeen to look forward to at the weekend but they still harbour hopes of qualifying out of the section which includes Salzburg and RB Leipzig.
“We will try to use the best players available but of course we have to be smart as well, some players will not play the full 90 minutes,” said interim manager Coolen, who remains unsure if he will be kept on as boss next season.
“Pal Helland came back from injury and is doing well in the last weeks but I will keep him out of this game because he has to be ready for Sunday.
“All the other players are available so we will have a good squad tomorrow.
“There will be players in the starting 11 that I can maybe take off a little bit earlier than normal.
“We have to think about a few things but we want to perform against Celtic.
“And yes, we’d like to show in our last home game against a European team, that we can do better than we have done against European teams.
“Both games are very important, we have a very good squad and we will use the most players possible to have a good result and a good feeling, to prepare ourselves for the next game which is also very important.”
Celtic have played Rosenborg three times this season, twice in the Champions League qualifying stage when the Hoops won 3-1 on aggregate after winning 3-1 at home and drawing 0-0 away.
Brendan Rodgers’ side won 1-0 in the Europa League Group B opener at Celtic Park in September, thanks to a late Leigh Griffiths goal.
Former academy director Coolen, who took over as boss before the first Celtic game, is looking for that elusive win.
He said: “It is going to be tough game and exciting game for us.
“They have to win, they will come to win.
“My first game as coach was against them, we did very well at the start but they were much better than us in the rest of the game.
“But we played them at home a few weeks later and we got a result, a draw and in the last game we played a very good game, we were close to a draw or even a win and there was disappointment when we lost the game in the last minute.
“But that showed us that we were close to being competitive at this level.
“The best games we have played have been against Celtic so hopefully tomorrow we will do even better.”