Mi-Chan wants to be kept is a Manga/Manhwa/Manhua in english language, Animals series, english chapters have been translated and you can read them here. You are reading chapters on www.mgeko.cc fastest updating comic site. The Summary is

Iori is a young man in his twenties who has been stressed at work, lost his cat that he had kept for many years, and is suffering from insomnia and loss of appetite. The next morning, he finds a beautiful, naked girl lying beside him…?