The Blanket Cats by Kiyoshi Shigenmatsu

A peculiar pet shop in Tokyo has been known to offer customers the unique opportunity to take home one of seven special cats, whose "magic" is never promised, but always received. But there are rules: these cats must be returned after three days. They must eat only the food supplied by the owner, and they must travel to their new homes with a distinctive blanket.

In The Blanket Cats, we meet seven customers, each of whom is hoping a temporary feline companion will help them escape a certain reality, including a couple struggling with infertility, a middle-aged woman on the run from the police, and two families in very different circumstances simply seeking joy.