Fire a code when permalinks updated

From what I know you can use the post_updated or the save_post hooks

https://developer.wordpress.org/reference/hooks/post_updated/ https://developer.wordpress.org/reference/hooks/save_post/

Hope that this help. If you need any other info please let me know.

Update:
Sorry for my misunderstanding. You can use the the_permalink filter. Below you have the docs

https://codex.wordpress.org/Plugin_API/Filter_Reference/the_permalink