The Brewers have chosen Wade Miley to start in Game 2 on Saturday, meaning that Milwaukee will open up the NLCS with two straight lefties. Right-hander Jhoulys Chacin will go in Game 3 on Monday in Los Angeles.
Brewers manager Craig Counsell announced his rotation on Thursday.
Gonzalez was 3-0 with a 2.13 ERA in five starts for the Brewers after being acquired in a deal with the Washington Nationals.
The Dodgers already have picked ace left-hander Clayton Kershaw as their starter for the opener, but they have yet to announce the rest of their rotation.