In the manga Noblesse, wolves' main attribute is their regenerative abilities (like Wolverine). Same with Ban (fox) from Nanatsu no Taizai.
Are there some explanation on why fox or wolves are associated with healing or regeneration abilities?
In Ban's case, the fox is linked to his sin of greed, because he drank the fountain of youth. But I guess in Japan, their ability to heal comes from the Fox Demons called Kitsune which have a variety of powers.
And I would guess the wolves' healing comes from the Werewolves Tales where they would heal any wound immediately if it wasn't inflicted with a silver weapon.