Rowett, who spent two years as a player with Blues between 1998 and 2000, has been given permission by Brewers chairman Ben Robinson to talk to Blues about the possibility of replacing Lee Clark who was sacked on Monday
"Everyone knows my position with a club like Birmingham. I've got a lot of people I know there and had a fantastic time there as a player and of course it's flattering to be linked with the job," Rowett said after Burton's away win at Carlisle on Tuesday night.
"What I would say is it's a testament and a feather in the cap for everyone at Burton.
"It means we're doing the job well and I've always said that. It means we're doing a fantastic job here and that's not just me, it's every member of staff and the players, the chairman and all the people around the club."
Rowett took over the managers role at Burton in 2012 and has led The Brewers to the League Two play-offs in each of the last two seasons.