The Frenchman has been without a managerial job since January 2016 when he was dismissed by Ligue 1 outfit Rennes
Montanier started his professional managerial career at Boulogne in 2004, before taking charge of Valenciennes in 2011.
The 51-year-old is a good manager, but many will question whether he has the knowledge or the expertise to manage in the Championship.
Perhaps Forest are looking at Montanier as a long-term appointment, allowing him to build a team that can earn promotion to the Premier League in the coming two or three years.
Forest fans have taken to Twitter to have their say on the speculation that Montanier could become the new first-team manager.
Below are some of the best comments:
If Montanier has #nffc playing like his Real Sociedad team, I'm all for it But doubt fans will accept defensive stuff he played at Rennes— AJ (@Lad87Red) May 26, 2016
If we really have approached philippe montanier we sure the greeks know what they are doing ? His record is woeful #nffc— Kristian Wild (@KristianWild) May 26, 2016
OK I don't know anything about Philippe Montanier but all these names linked with #nffc job getting ridiculous now!— Dom Brunetti (@domthered) May 26, 2016
Does Fawaz know English.. Philippe Montanier... "We want someone with championship experience" he says... Am I missing something here? #nffc— James Belfield (@jamesbelfield92) May 26, 2016