The Scottish champions return to the pool phase of Europe’s premier tournament for the first time since the 2017/18 campaign, when they finished third in a section including Paris Saint-Germain, Bayern Munich and Anderlecht.
Celtic will be in pot 4 and could be drawn against a number of Europe’s heavyweight clubs, including holders Real Madrid.
Postecoglou knows they are likely to face some top teams, but says there is a feeling of excitement around the club as they gear up for Thursday.
“They will be good teams, it’s fair to say they will be decent sides,” said Postecoglou.
“We’re looking forward to it, it’s exciting. I know that come Thursday we’re going to have all our supporters glued to the TV set in anticipation.
“It’s where we should be. It’s where this football club needs to be. I have a responsibility to make sure we are there and we are there to make an impact.
“No doubt when we see the draw there are going to be some exciting ties and some memorable occasions for everyone involved in this football club, whether you are a player or staff, manager or supporter.
“Celtic Park Champions League nights are unforgettable, so I’m looking forward to it.”
The draw for the Champions League will be made at 5pm on Thursday and will be broadcast live on BT Sport.