What have you done to find the answer to your question? Have you checked the Ellis Island site? There are a couple of
names to be found there which approximate your surname.
Actually, I believe it's really a single name with a transcribers
error accounting for one entry. Check it out for yourself.

There is a word in the Magyar language, "zaro", which means
closing or final. Many Magyar words, and thus many Magyar
surnames, are compounds of one or more base words coupled
with a prefix and/or a suffix (or two). Then, on the other hand, the name may not be Magyar at all. Not all Hungarians were Magyars.