Wagahai wa Inu de Aru: Don Matsugorou no Seikatsu

Mr. Matsuzawa is a novelist who lives in Chiba Prefecture. Only his daughter Kazuko knows that the family dog, Don Matsugorou, can talk. Don is wounded in a fight with the neighbors' dog, King, a nouveau-riche mongrel with ideas above his station. At the vet, however, he falls in love with a little patchwork puppy called Chotaro.

(Source: The Anime Encyclopedia)