There are no cemetery, nor death records online for Pozzuoli.
The Town Offices won't search their registers without an accurate date (at least the year).
So, I think the best you can do is trying with Social Media, in some group for the Town, giving as many details as you can, and hoping someone ...

Hello,

Thank you for adding me. I grew up in Italy but migrated in 1970 to Australia. I am trying to find information of date of death and cemetery records for a person that passed away, I think after 1970 sometime but I dont know for sure. I do have his name and I know that he used to own the ...