In some fanfictions, they might leave because of a prophecy. They believe that leaving Konoha is part of their destiny to fulfill a certain task, perhaps to stop an impending doom that is not related to Konoha directly. They see it as their duty to venture out on their own.
One reason could be to seek greater power. Maybe they feel that Konoha no longer offers the training or resources they need to reach their full potential. So they decide to leave and explore other places where they can become stronger.
It could also be due to a falling - out with the village leadership. If they disagree with the decisions or the direction that Konoha is taking, Naruto and Sakura, being strong - willed characters, might choose to leave. For example, if there are unjust policies towards certain ninja groups, they may not be able to tolerate it and thus leave the village.
One reason could be to seek a new life away from the constraints of Konoha. Maybe they feel that they can't fully grow or explore their potential within the village. Another reason might be to protect Konoha in their own way. They could believe that leaving and dealing with threats from the outside would keep the village safer.
One possible reason could be to seek a new life away from the politics and pressures of Konoha. Maybe they feel restricted by the village's rules and expectations. Another reason might be for a personal adventure. They could be in search of something that Konoha can't offer, like a new type of ninja training or a mysterious power source. Also, it could be related to protecting their family. If they sense some kind of threat to their family within Konoha, they might choose to leave to keep them safe.
One reason could be a special mission. For example, there might be a threat that only Naruto can help with in Suna. Maybe there's a new type of enemy that has some connection to Suna's unique chakra sources and Naruto's abilities are needed to figure it out.
Maybe they leave because of a conflict within Konoha. There could be political unrest or a group within the village that they don't agree with. They might think that leaving is the only way to avoid getting involved in something they don't believe in or to protect the village from the inside out in their own way.
One possible reason could be to seek new powers. Maybe they feel that Konoha no longer offers the kind of training or opportunities they need to grow stronger. Another reason might be to escape from certain politics or social pressures within the village. For example, Naruto has always been an outcast in some ways, and Ino might be tired of the family business or the way things are done in Konoha.
Another reason might be that Naruto is seeking a greater purpose. In the fanfiction, his 'godlike' state could make him realize that there are threats out there that he can't face while being tied to Konoha. He may leave to protect the world on a larger scale, believing that he can be more effective away from the village.
She might leave to find herself. In Konoha, she has always been defined by her relationships with Naruto and Sasuke. Leaving gives her the chance to figure out who she is on her own terms, away from the expectations of her friends and the village.
One reason could be that he feels betrayed in Konoha. Maybe some secrets were uncovered about the village's past actions towards him or his family that made him lose faith. So, he decides to start anew in Kiri where he hopes to find a different kind of acceptance.
Another possibility is that they leave because of a sense of disillusionment. They could have witnessed some corruption or unfairness within Konoha's leadership or among the ninja community. This makes them lose faith in the village and decide to start anew elsewhere.
One possible reason could be to search for a powerful artifact. In many fanfictions, there are often hidden and powerful items that can change the fate of a village or even the whole ninja world. Naruto and Tsunade might leave Konoha to find such an item before their enemies do. This would be a dangerous mission, so they keep it a secret from the rest of the village to avoid panic.