In a fanfic, Naruto and Kurama could become friends when Naruto starts to understand Kurama's pain. Naruto, being the kind - hearted person he is, might try to communicate with Kurama on a deeper level. He could share his own feelings of loneliness and being an outcast in the village at first. This mutual sharing of emotions could break the ice between them and start the process of friendship.
Well, it could happen through battles. As Naruto fights more and more using Kurama's power, they might develop a sort of comradeship. For example, when Naruto is in a really tough fight and Kurama realizes that Naruto is not just using him but actually values his strength. This could lead to a change in Kurama's attitude towards Naruto, and gradually they become friends.
In a fanfic, the concept of chakra could play a major role in their friendship. Naruto's positive chakra might influence Kurama's dark and angry chakra. Naruto could start sending his friendly and warm chakra towards Kurama, which Kurama initially resists but then starts to accept. This chakra exchange could be the foundation of their friendship. As Kurama gets used to Naruto's positive energy, he begins to open up and see Naruto as a friend rather than just a host.
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