Zombie no Afureta Sekai de Ore Dake ga Osowarenai

Yusuke Takemura, a former office worker, is bitten by a zombie... or so he thought. After waking up, the town is full of zombies, but none of them attack him! Who knows what to do now... but if the world is in ruin the least you can do is try to live freely. In trying to set himself up for simple living, he comes across another survivor... a girl named Mitsuki. "Please... Help us!" Nothing comes for free, so Takemura agrees to share supplies in exchange for favors from Mitsuki...

(Source: MangaPlaza)