You can get this with ease through solo Garden Ops. Put it on easy and use The Chomper plant. You use his spikeweed ability, once a zombie steps on it he will become snared.
Sometimes the snare will kill the zombie so you don't need to, mainly the bog standard zombies, the named zombies like the All-star won't die naturally. Zombies who die whilst in the snare will count towards your achievement.
Whilst the zombie is snared simple go over and eat it, assuming it doesn't die. Once you get 10 kills you will get the achievement.
It is very easy to do and if you set up defences around your garden you should have no trouble at all.
This is the easiest method by far. Please leave a comment if you feel I can improve this solution in any way.