The configuration mentioned above can be found in the Compatibility tab of WinZip Properties. If you right click a file or folder in order to use the WinZip context menu for zipping (see the picture below), and if WinZip is configured to always Run as administrator, the error above will occur. A program that is running with user permissions, however, will not cause User Account Control to offer you this option. Certain actions you take will cause User Account Control to display a dialog which will allow you to elevate your permissions level to the administrator level. User Account Control in Windows 10, Windows 8, and Windows 7 causes applications to run as a 'user' rather than as an 'administrator' by default.
That configuration will work for some uses of WinZip, but it will then cause this issue for other uses. Some people might do this to make it possible for WinZip to create and/or edit Zip files in protected folders, such as those inside the Program Files folder. The message 'Error 740: The requested operation requires elevation' indicates that WinZip has been configured to Run as administrator.