Former Crystal Palace manager Pardew, 55, yesterday attended the Old Firm derby in Glasgow as a guest of Celtic manager Brendan Rodgers.
The ex-Newcastle boss is out of work and interested in the vacancy at Carrow Road following Alex Neil’s sacking.
The Scot was axed on Friday as the relegated Canaries’ hopes of bouncing straight back to the Premier League faded.
Norwich started their search on Sunday for his successor after a 2-2 draw with Blackburn in the Championship but the club is currently without a chief executive after Jez Moxley quit.
MirrorSport understands ex-Birmingham boss Rowett,43, will be given an interview after impressing turning Brum from relegation candidates to promotion hopefuls on a shoestring.
The ambitious boss, who learnt his trade at Burton, was controversially sacked by Blues in December for offending the club’s new Chinese owners by turning down a new contract.
He is now available without compensation and Brum have slumped from seventh under him to 17th under successor Gianfranco Zola, who is under huge pressure already.
Pardew took West Ham up in 2005 and has finished runner-up in the FA Cup twice with the Hammers and most recently Palace, who sacked him in December.
He was also named Premier League manager of the season in 2011-2012 for guiding Newcastle to fifth.
Steve Cotterill and Alex McLeish are also interested ,while Mark Warburton was interviewed for the job previously.
Ex-England manager Roy Hodgson has been linked with the post as he is a close pal of Canaries co-owner Delia Smith.