"I started shaking, I literally saw the Holocaust flash in front of me. I felt as if there were Nazis about to storm into the store. I could barely look at the shopkeeper," she wrote in her complaint.
"I felt anti-Semitism alive. I couldn't wait to get out of there."
A grandchild of the Holocaust, in which millions of Jews were killed, said she felt nauseated.
"I was absolutely horrified to see the atrocities of Hitler and his regime played out in a game," Simone said in a statement on Friday.
The product states it is a social deduction game for up to 10 people to find and stop the "Secret Hitler" among the two teams of liberals and fascists.
Set during the short-lived German Weimar Republic in the 1930s, teams compete by voting on legislative proposals, with a team of closet fascists working to elect Hitler while the team of liberals seek to keep democracy alive.
But ADC chairman Dvir Abramovich told AAP the game had unsettled Jewish people.
"Everyone is revolted and disgusted that a board game bearing that name and revolving around Hitler, whose many victims live in Melbourne and in other cities, is being sold in stores here," Dr Abramovich said.
"Anyone who suffered under Hitler, or lost families at the hands of the Nazis, would not find this playful and amusing."
The ADC has called for retailers to pull the product from their shelves immediately.
The game, created by the same group behind the popular Cards Against Humanity, has been available in Australia since 2017 and is also sold in the US and Canada.
Game creators, Goat, Wolf and Cabbage acknowledges the board game is controversial.
Readers are urged to contact US President Donald Trump to complain, according to the company's Q and A section.
Secret Hitler recently released a Trump administration booster pack, replacing Hitler with the US president.
- with AAP