Try this support workaround:
In the meantime, we have found a workaround that has worked for some people:
- From the PS4 main menu press up on the D-Pad and go to Settings→ PSN→ Sign Out.
- After signing out, select Sign In and re-enter your account password to sign in.
- From here select Activate as Your Primary PS4→ Activate.
- From the main menu highlight Call of Duty: Ghosts and select the Options button and select Delete.
- On the PS4 go back to the main menu and press up on the D-Pad and go to Notifications and navigate to the Downloadssection.
- Go to https://store.sonyentertainmentnetwork.com/#!/en-us/home/main and select Sign In on the top right of the screen.
- Your PSNID will now be in place of the Sign In button. Highlight your PSNID and scroll down to Download List.
- Find the Free Fall Dynamic Bonus Map DLC and select Download to Your PS4.
- Notice that on the PlayStation 4 the DLC says Cannot install.
- Re-insert the Call of Duty: Ghosts disc and the initial install will begin.
- After the install has completed navigate back to the Notifications→ Downloads section and highlight the DLC. Press Xand Retry.
- The DLC should now be installed.
After the content has completed its installation, it will be necessary to download and install all the updates and files for Call of Duty: Ghosts again to the PS4 console.