I think Dr. Zoidberg would do pretty well during a Futurama zompocalypse.

He can eat anything… and I mean anything, and he’s fairly familiar with unbearable poverty.

Also don’t forget he’s got that really hard shell.  Baby, that’s zombie proof armor! And those pincers!   What better zombie killing weapons do you need?

Next to Bender, whom we can all agree is a zombie killing machine (Pun intended) Dr. Zoidberg would have no problems surviving the Futurama Zompocalypse.