Israelis don’t use, like or offer napkins ever. In most places you actually have to ask for napkins. This goes both for fast food places as well as while dining in someone’s home. I don’t know why but napkins just aren’t a part of normal life in Israel. More of than than not, if you want one, you have to ask. I just bought a nice crispy chicken sandwich from KFC and, of course, had to ask for napkins.
By the way, in Israel, this sandwich is called the “Zinger.” Of course, “zinger” is pronounded “zeen-gerrrr”