Cats can absolutely have salami. Only a little though.

For those mentioning salt, cats are not dissimilar to us when it comes to salt. Some is fine, a lot can be very very bad for you.

Keeping in mind that the amount of salt that's okay is going to be a lot less because cats are much much smaller than we are. A low sodium diet for a human, in grams of sodium, would be a lot of sodium for a cat.

With that, a little should be fine. Once in a while.