I had this permission problem using AVID Media Composer. I found two work around solutions to be able to transcode or consolidate the editing:
1) Create a new partition. The new one shows up in the transcode/consolidate menu. But I still had an error message when launching the application Media Composer (without any consequence probably).
2) Disabling momentarily the SIP, changing the permission of the hard drive folder (Get Info-->Sharing and permissions-->everyone Read&write) and locking back the SIP. It works fine now.
To disable the SIP:
Boot the computer in Recovery Mode: cmd (⌘)+ R
Open the Terminal application (in Utilities folder of the Applications folder)
Write: csrutil disable; reboot and Return key
You should see somewhere: "Successfully disabled System Integrity Protection. Please restart the machine for changes to take effect."
Restart the computer.
To check if the SIP has been disabled, you can reopen the Terminal application. Write csrutil status and Return key.
You should see: « System Integrity Protection status : disabled »
In this case you can change the protection as said before.
To reactivate the SIP:
Again boot the computer in in Recovery Mode: cmd (⌘)+ R
Write csrutil enable; reboot and Return key
You should see now: « Successfully enabled System Integrity Protection. Please restart the machine for changes to take effect. » Restart the computer.
Voilà !