It used to be that if you were banned from EA’s Origin, you’d also find yourself banned from any single-player content you purchased. EA, it seems, has listened to the [justified] complaints of Origin users and fixed the problem. Electronic Arts sent Cinema Blend an email detailing the service’s update:
If you find yourself with a disabled account, please note that you can still play EA games in single-player mode. For PC games you will need to enable Origin’s offline mode to play games with a disabled account. Go to the settings tab in Origin (the gear icon) and select Go Offline.
Granted, the best option — assuming you’re an Origin user — is to avoid getting banned in the first place; but if you do somehow manage to offend the powers-that-be, at least you’re not completely out of the game (no pun intended).