Will Filemaker Pro 19 work with Mac OS Ventura?

That is a question best asked of the FMPro developers. A quick search revealed this:

https://community.claris.com/en/s/question/0D53w00005uf9wnCAA/ventura-and-filemaker

And this:

https://support.claris.com/s/article/Claris-product-compatibility-with-macOS-Ventura?language=en_US

Like I said, it is probably best to ask the developers to confirm. Claris has yet to update the FMPro v19 product page to include macOS 13.x Ventura as the first link mentions. Tells me things may still be a bit uncertain for full compatibility.