Gaga portrays Patrizia Reggiani who marries Driver's Maurizio Gucci in the clip.
The trailer explores the family behind the Gucci fashion brand and show's Patrizia wanting Maurizio to betray his family.
House of Gucci is based on the Sara Gay Forden book The House of Gucci: A Sensational Story of Murder, Madness, Glamour and Greed and will follow how Patrizia was tried and convicted of plotting the assassination of her ex-husband, Maurizio.
"I don't consider myself to be a particularly ethical person, but I am fair," Gaga says in the trailer.
House of Gucci is set to hit theaters on Nov. 24. Scott directs from a script by Becky Johnston and Roberto Bentivegna.