Currently QuickLaunch is only available from Call, Request and Task.

I would like to be able to use this from the CI screen to be able to launch web pages etc to look at additional details for the CI from other tool sets.

There is no reason why this shouldn't also be considered for other entities such as People (e.g. launch HR lookup), Organisations (e.g. go to website), Locations (e.g. show map), etc.