The franchise had included in the condemned Facebook post a screenshot taken from a footage released by the Israeli prison, claiming that the leader of the strike Marwan Barghouthi was eating secretly in the cell.
The Israeli prison administration has subjected the prisoners who joined their fellow strikers to collective trials, imposed fines on them and deprived them of family visits in an attempt to thwart the open-ended hunger strike, launched by almost 1,600 prisoners on April 17.
Israeli officials have dismissed the strike as a bid by Barghouti to burnish his credentials in an internal Palestinian power struggle.
Hundreds of Sudanese citizens on Tuesday protested in front of the United Nations (UN) Head-Office in Khartoum in solidarity with Palestinian prisoners in the Israeli jails.
Fadwa said that publishing this fake, fabricated video only shows Israel's defeat in countering the battle of empty stomachs that the detainees are engaging in - she said that it just shows how weak Israel and the Israeli occupation are, and how strong is the will and the determination of the detainees.
For Israelis, he is a murderer and a terrorist who is serving five life sentences for his role in suicide bombings and attacks against Israelis that killed five people during the Second Intifada, or uprising, that began in 2000.
On Monday, following questions about how the video came to light, Erdan suggested Israeli prison guards had tempted Barghouti with the food. He said a possible deterioration in the conditions of the hunger strikers "would make the situation more and more complicated".
A spokeswoman for Pizza Hut International apologised for the post.
The image was later removed from the Facebook page, though it was still found on the page of at least one local branch. "It was completely inappropriate and does not reflect the values of our brand", she said.
Barghouti's son, Aarab Marwan Barghouti, told Newsweek that the global Boycott, Divestment and Sanctions (BDS) movement seeking to pressure Israel economically to end its repressive policy toward Palestinians is contributing to a campaign to boycott the US-based fast food giant.
Palestinians had started to call for boycotts of Pizza Hut before several activists from other Arab countries joined the boycott calls.