I have this problem. I work as a user manuals editor in spanish and my InDesign files are translated into 6 languages. One document per language. In my documents I use many tables.
What I want to do with those tables is that it autofit to the content, because sometimes the cell content in spanish are 5 lines and, for example, in english are 4 lines, so I've to adjust it to the new content manually.
Can I do it with cell/table styles?
Vertically, cells will auto-fit automatically unless you told ID not to do so. You must have set your row heights to an "Exactly" height, where "At least" (and a very small number) should work.