• Yes there is: 

    in Management Studio (object explorer) click on the tab "LinkedServers" Press F7 all the Linked Servers should now be on the right hand side, Press CTRL and highlight them all right click Script as, and Bosh there is your script 🙂  NB: naturally the permissions if any will need to be addressed, but really you should be testing these connections on your other/new SQL server 
    agreed not the most elegant solution but it worked for me 🙂