First of all it has to make sense, the person who gets the kyuubi would need to be able to handle a lot of chakra and have big reserves, at least Zabuza level Chakra which is really really high imo maybe a bit less.
zabuza caonically has much larger chakra reserves his chakra is so powerful he can make it visibleZabuza is not fit for it, i will prefere kakashi or obito