Doing a search for Zombies brought up your drawing -- nicely done! I really like the bold lines, very striking. As for background, I think you put in just enough to give a sense of location without dwelling on it. This drawing is all about the character, and I think that's more than cool enough to stand on its own.
Kudos man! You earned another fav with this one and a watch on your page. If you feel like kickin' out any more zombie drawings, you've got my vote of approval!