The 24-year-old has agreed a three-and-a-half-year contract with the Canaries.
"I had a chat with the gaffer and it's a young group, something I could see myself being integrated into," Maghoma told BBC Radio Norfolk.
"I know the start of the season wasn't the greatest but the team seems to be picking up some really good form, some decent results, so it's about building on that and hopefully getting ourselves back into the Premier League.
"It's amazing - even though we're in the Championship right now, the whole environment is built for the Premier League so it's up to us guys on the pitch to do the job and get us there."
Maghoma made eight Premier League appearances as a substitute with Brentford. His only senior start was in an FA Cup defeat at Plymouth 12 months ago.