In general, screen readers will read only those elements (their content) that are focused or the aria-activedescendant attribute is added to the focused element. Basically, you will need to enable keyboard navigation to the context menu to allow the screen reader to read the focused item.
The available options to accomplish your goal is to
- stop using context menus and go with something more accessible, like separate static menu that you can show/hide
- focus the context menu or enable custom keyboard navigation
Generally speaking, a UI consisting context menus is not very accessible in its essence. Probably, it could be better to avoid using them if you would like to provide an accessible functionality to your site and ensure a flawless user experience.
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