The former Liverpool boss has been named as a potential replacement for Ronny Deila.
The Celtic Park hot seat is set to be one of several jobs available this summer, after current manager Ronny Deila decided to leave at the end of this season.
A number of managers have already been linked with the role, with Rodgers, who has been without a job since leaving Anfield last October, among those named as potential appointments.
The Scottish champions will naturally take their time in finding Deila’s replacement, and when asked about the chance of taking over, Rodgers did not hide his admiration for the Hoops.
"Well, it's an incredible club, a club that family and everyone support,” he told Sky Sports.
"Obviously the league isn't so competitive but Celtic are one of the great iconic clubs in the world, a huge club.”
“At this moment of time I'm just enjoying my time off and I'll wait and see what offers come in and, at this moment, there is nothing concrete.”
Rodgers would certainly be an interesting appointment for Celtic this summer, and given he has managed Liverpool; it would not be a step up as it was for Deila.
He would also bring the appealing brand of football that they crave, with both the Reds and Swansea having been highly attractive at their best under him.
Rodgers though, may fancy that the Scottish Premier League is beneath him at this stage of his career, with a return to the Premier League a much more attractive proposition.