Anderson, an honorary director of People for the Ethical Treatment of Animals, is in Israel to participate in the local version of "Dancing with the Stars."
Her work for animals "has been really inspiring," she said. "I feel like I have actually done something."
An anti-fur bill has been put on hold in Israel over concerns by ultra-Orthodox leaders that it could impact production of the characteristic fur hats worn by some men from Hassidic sects on holidays and other festive occasions.
To combat growing secularization of Jews to European society in the 18th century, Hassidic Jews decided that their way of dress should remain intact and not be influenced by fashion. Descendants of these communities to this day wear the black hats and coats of that period, including, at times, fur hats.
Anderson called Israel a "progressive" country because it had no fur farms, and said that it can serve as "an example for the rest of the world."
She said she intends to speak about the issue of fur to Israeli religious leaders on her trip.
"It's almost 2011. There are so many alternatives to things. We can be compassionate in our choices," Anderson said.
She said she tries to incorporate her campaign for animal rights during other "Dancing with the Stars" shows around the world.
Late Sunday, Anderson visited the Western Wall in Jerusalem, the holiest site where Jews can pray.