Another league title is very much on the cards, with it possible that Rodgers could oversee back-to-back treble triumphs during a period of complete domestic domination.
It is those efforts which have drawn admiring glances from afar, with Arsenal among those reported to be considering the Northern Irishman for a post set to be vacated by Arsene Wenger this summer.
Forrest and his Celtic colleagues are fully aware of the rumours, but the 26-year-old is hoping any interest is shunned, telling Sky Sports: "The manager has been different class for me and for a lot of the other boys as well.
"Since he has come in he has given us all confidence and made sure we've all been working hard and that's what we've done.
"I think we've done really well since he came in winning trophies, winning cups and we want to keep progressing and hopefully we can keep doing that.
"He's done a great job himself, he's getting linked to big clubs and that's only a good thing for Celtic and him personally.
"Obviously the players and everyone associated with the club wants him to stay and we hope that happens."
Rodgers will have another league title to toast on Sunday if Celtic can see off Old Firm rivals Rangers on derby day in Glasgow.
They also have a Scottish Cup final date with Motherwell to come, having already seen off the same opposition to land the League Cup in November.
Forrest added on the challenges to come: "We just take it a game at a time, we want to make sure we tie up the league as quickly as we can now and obviously look forward to the cup final.
"We want to do that, it would be incredible if we could do that, but we know that it is going to be difficult and Motherwell will make it hard for us.
"There is always pressure at Celtic in every game. There's pressure to win trophies, to win cups and it is always going to be the case."