“He adds a slightly different profile than what we have already, and can draw upon experience of both the Premier League and international football.”
Slimane was previously coached by City boss Johannes Hoff Thorup when he was in the academy squad at Danish club Akademisk Boldklub.
“I know the manager pretty well and I’ve been told a lot of good things about the club, fans, training facilities. I’m just really looking forward to getting started,” he said.
Norwich are away to Coventry City on Saturday.
