The goalkeeper joined the Canaries on loan from German giants Schalke last summer, but played just 22 minutes of Premier League football for City, which came in a 2-0 defeat to Crystal Palace in September.
Fahrmann said: “Last summer, I moved to Norwich on a loan contract but I was not happy with my situation there and now I'm here at Brann.
“I'm very happy because it's a beautiful city and the people are very nice. The situation in England and Germany is that we always have the summer free. In Norway, you can play in the summertime. In the last months, I didn't play so much in Norwich, so I decided on my own that I don't need holidays, I don't want free time. I just want to play football because that it was I love and was born for."