Except for QuarkXpress, only handful of other programs can handle .qxd documents, so your options for this conversion are somewhat limited. On the other hand, if you use a program that can successfully import .qxd, it is likely that the program can also export the document to a simple HTML format.
Convert QuarkXPress document to HyperText Markup Language web page.
We have found 4 software records in our database eligible for .qxd to .html file format conversion.
Microsoft Windows software - convert qxd to html on Windows
A design software used to create rich documents for web or print
Convert from qxd 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 qxd to html. 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.
Professional desktop document publishing software from Adobe
Apple macOS / Mac OS X software - convert qxd to html on OS X
Software fro document design and publishing
Mac version od Adobe's popular document designing and publishing software