While there is no way to pass arguments to your newly created function, you can however pass in simple global variables, but they have to be defined at the root level and they cannot be altered by any means from any subsequent functions.
i.e. if you defined the following in the root script
var folderToSearch = ['folderIDString']
You could pick that up in your
newCreatedMenuFunction () {
Logger.log("folderToSearch: " + folderToSearch);
}
Output 'folderIDString'
Not that it does you much good, but some parameters are possible. You might have to rethink what it is you are trying to achieve.