Director as auteur
Watch David Fincher’s earlier, more mainstream film, "The Game" (1997); you can begin by reading about it on Wikipedia or fan-sites devoted to David Fincher.
David Fincher's "The Game" (1997) on Wikipedia
What similarities in themes and style can you identify with Fight Club?
Here's a trailer from the film
The trailer for "The Game"
What similarities in themes and style can you identify with "Fight Club"?
Producer as auteur
Art linson was the producer of Fight Club; look up his filmography on IMDB.
To get a clearer sense of the work of a Hollywood producer read Linson’s book “What Just Happened?” which includes material on Fight Club.
Here are a few interesting reviews from Amazon USA
Amazon US Reviews of Linson's book