Before you attempt this achievement you must be prepared to start over, a simple mistake such as shooting a car can compromise this achievement. Let your team do most of the work and hold back in a corner, make sure you check your stats all the time to see if your under the required amount. This isn't impossible but it requires patience, The two levels to avoid causing any damage on are "Times Square" and "The Museum of History".
If you do make a mistake quickly quit out of the game and resume, check your stats and hope that whatever you just damaged didn't get recorded.
This will unlock once the game has been completed.