The 34-year-old Frenchman didn't play a game for Wigan in the latter half of the season and is happy to be playing football again at Carrow Road.
Sibierski said: "I want to enjoy it, which I haven't done for a while now.
"That is the main thing for me - going to train with my team-mates, playing football and enjoying football, in training and in games. That is what I am looking for.
"The last time was a long time ago. I am not going to blame Steve Bruce and I am not going to blame Wigan. He is the manager, he made his decision, he made his choice and you have to respect that as a player."
The striker capped his debut for Norwich with a goal - a spectacular 30-yard drive - but says the main thing is that the team wins games.
He added: "I haven't started a game for seven or eight months now and it was a bit tough for me, but it was my first goal since January so for me it was good, but especially for the team. The win was very, very important. Whether I score or not the main thing was to win."
Norwich boss Glenn Roeder is delighted with his new signing and feels the striker will add extra quality to his side.
Roeder told the club's official website: "He's a very good footballer, some of the boys' eyes have been opened to his quality on the training ground."