Re: need for speed rivals (PC) cannot save game data on HDD
Can you try opening Origin as admin? You can do so by right-clicking and selecting Run as administrator. Additionally, from within Origin please also right-click NFS and select Repair Game. Afterwards, also check the Game Details section, you should see a Cloud Storage tab here. If you run into issues with it being in, you can also try turning it off.
I've also encountered a similar user report from another Need for Speed game, here the user did not give administrator privileges to his Documents folder and so the Save files could not be written. This meant that the computer was unable to write save data there.
Your save data should be located in Documents\Ghost Games\Need for Speed(TM) Rivals. Right click the Ghost Games folder and select Properties and Security. From here you can give additional access to users on your system.
If you have additional questions, please let me know.