Kamara signed for the Canaries until May from the Major Soccer League, where he had been playing for Sporting Kansas City.
The 28-year-old Sierra Leone forward only had a couple of days training with his new team-mates before making his debut with a lively late substitute appearance in Saturday's goalless draw against Fulham at Carrow Road.
As Norwich were dumped out of the FA Cup by non-league Luton, there is no fixture until Barclays Premier League action resumes with the visit of Everton on February 23.
Kamara hopes by then, he will feel fully integrated into his new surroundings.
"It is a great time for the break, because it gives me a chance to work my way into the team and work my way in with the guys, and really try to learn a lot more," Kamara said.
"It is just the perfect situation for me and all I have got to do is just keep working hard, and that is what I always do.
"I believe that if I can show the coach that and what I can do, he is definitely going to give me my chance."