Build configiuration setting needs to be an "iOS Device" (or any specific device if connected) to activate "Product → Archive" menu item. For some strange reason when any kind of iOS Simulator is selected, Archive is greyed out.
All you need to do is create an Executable File in your project folder... If you start with a fresh project there are NO executable projects, only what you create, be it a .cpp or a .m you need an executable in the folder.