After a recent visit to the ward, Ms Gerbi told her Facebook friends that she felt honoured to have met the “real heroes who are fighting every single day to maintain their joy of life”.
She has pledged to autograph the sign for whoever wins the online auction, which closes on Monday night.
“I don’t know how much money I’ll be able to raise, but any amount will help, even if it’s not much,” she said.
Gerbi defeated Japan’s Miku Tashiru on earlier this month to scoop the first Israeli Olympic medal since 2008.
Three days later, fellow judoka Or Sasson also claimed a bronze.
The pair returned home to a hero’s welcome at Ben Gurion Airport last week.
