You'll need to work out who to talk to.
If your manager is your immediate report it would be them.
If you are moving because of issues with the manager, you might find those issues replicated in the next project too.
If there is no issue with the manager and you want to move because the project seems to fit you better they would be the best to chat to.
Any move takes a bit of guts, so does life. The mroe you show yourself your courage, the better for you!