Construct can export your project as a traditional desktop app with NW.Js , which is basically a standalone version of the Google Chrome browser. In other words...
I was having problems running my NW exported game when running on Linux. It would silently fail to when trying to run from the file manager GUI. When I ran from the command line it showed a failure to find the shared library. I'm new to Linux so didn't pay much attention to the directory permissions, but then found that my game would run if I ran it with "sudo". I then saw that the subdirectories (lib and locales) had here permissions set to "drwxr r ". Changing these by performing chmod 755 on them added execute permissions (drwxr xr x) on for all users, and I could run my main executable without using "sudo".