I don’t know of any, but the question is reasonable - only a pedantic blowhard ignorant of language would insist on “writing” as the only meaning of “record”.

Records of pandemics could include pathological evidence (like bone lesions, as seen in say the treponema lesions on T. rex bones); archaeological evidence (inhabitation followed by abrupt disappearance); and/or genetic evidence (genome sequencing of pathogens associated with skeletons, for example, as has been done for the Black Plague and leprosy in the Middle Ages).

The existence of North American pandemics immediately following European contact is well known, although the cause (probably multiple, probably including measles, smallpox, and possibly some unknown pathogens) and the extent (did they kill off 75%, 90%, 99% of the population) remain unclear. There are some written records of this as well, of course.

Otherwise I don’t know of clear evidence of prehistoric pandemics or panzootics (i.e. in non-humans). All of the record types I mentioned have been used to identify infections on a smaller scale, but I don’t know of them used for widespread disease.

But it’s possible I’ve missed some, and the question makes perfect sense to ask.