The majority of Schwarzenegger's fellow Austrians are against capital punishment, leading the Mayor Siegfried Nagl in his hometown of Graz to grant a request from the actor to rename the Arnold Schwarzenegger Stadium as Stadium Graz Liebenau.
In a letter to the city council last week, Schwarzenegger wrote, "In all likelihood, during my term as governor, I will have to make similar and equally difficult decisions.
"In order to spare the responsible politicians of the city of Graz further concern, I withdraw from them as of this day the right to use my name in association with the Liebenauer Stadium."
The stadium was named after the actor in 1997.