Existing FME Desktop and FME Server version 2015.1 will support Windows Server 2019??
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Why dont you create a VM to test it?
According to the tech specs it looks like it should be ok but since the OS is so much newer I agree with @antoine and recommend you try it out on a VM first. Also keep in mind that FME 2015 will no longer be supported when FME 2020 is released in a couple of months.