No, QuickCAD won't work with newer versions of Windows. According to users on the Autodesk forums, the software is not even working with Windows 7 which means that Windows 10 is out of the question.
Compatibility mode is not working as well, therefore if you plan to use this applications, virtualization is the answers. It implies running an older version of Windows (one that's compatible with QuickCAD) in a simple Window.
You can learn more by downloading VirtualBox and learning about the way it works.