Jurgen Klopp's men had lost their last league fixture 3-0 at Hamburg, but returned to winning ways courtesy of second-half strikes from Mats Hummels, Robert Lewandowski and Henrikh Mkhitaryan.
That result saw Dortmund move back to second in the table, as Bayer Leverkusen were defeated 1-0 by Mainz.
Winger Hofmann - who contributed an assist for the third goal - believes Dortmund can take confidence from their impressive showing into future matches.
"It was a fully deserved win," he told the club's official website. "We played very well, our counter-pressing game was well executed and we scored beautiful goals.
"Of course I'm also happy that I was able to provide an assist to help the team win. We wanted to make amends for last week's defeat to Hamburg and we achieved that. We made a statement, and we can build on this."
Lewandowski - whose strike took him to 15 league goals for the season - added: "We scored three goals and allowed Nuremberg only one scoring opportunity, thus it was a good performance by us and we are very pleased.
"I'm happy about my goal as I want to score many goals. We are now back in second place where we wanted to be. But the season is still long and there's still a lot of work to do to retain this spot."
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