Well, it could start with Naruto being in a tight spot, like surrounded by a bunch of powerful foes. Itachi and Kisame show up out of the blue. Itachi uses his Sharingan to confuse the enemies, while Kisame uses his brute strength. They manage to get Naruto out of there. Then, Naruto might be curious about their motives. Itachi could give some cryptic answers, and Kisame would just grunt. This encounter could lead to a series of events where Naruto, Itachi, and Kisame are involved in a bigger mystery that ties to the secrets of the ninja clans.
A fanfic plot could involve Itachi and Kisame being sent on a mission that accidentally crosses paths with Naruto's endangerment. For example, they are tracking a dangerous criminal who has also set a trap for Naruto. They save Naruto from the trap. As they do, Itachi realizes that Naruto's Nine - Tails power could be a threat or an asset depending on who gets their hands on it. So, he and Kisame decide to keep Naruto safe for a while. During this time, Naruto tries to understand Itachi's true intentions, and they end up having some intense conversations about the nature of power and loyalty in the ninja world.
In a fanfic, Itachi and Kisame could be in a situation where they need Naruto's help in the long run. So, when they see Naruto in immediate danger from a group of shadowy assassins, they step in to save him. After the rescue, they start to train Naruto in their own unique ways. Itachi might teach Naruto some mental techniques related to the Sharingan, like how to better sense danger. Kisame could show Naruto how to better control his chakra flow in water - based environments. This would create a bond between them, and they would form a sort of makeshift team to face future threats together.