QuarkXpress QXD document format was replaced by QXP format in later versions of the program. You will probably encounter problems when importing new InDesign documents in some earlier version of QuarkXpress. Your best option here would be to generate a .qxp file (INDD to QXP) first and then save it in the .qxd legacy files if your version of the software supports it.
Convert Adobe InDesign document to QuarkXPress document file.
We found 2 software records in the database related to .indd to .qxd file format conversion.
Microsoft Windows software - convert indd to qxd on Windows
A design software used to create rich documents for web or print
Convert from indd file format
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned indd to qxd. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
Apple macOS / Mac OS X software - convert indd to qxd on OS X
Software fro document design and publishing