It depends on what sort of switch you want to make. Do you want to switch to the team that you sit next to? You can probably do it by mentioning it to your manager in your next 1:1. Do you want to move to Paris for a year and work on a completely new product area? That might involve meeting the manager of the new team, getting to know the team in person, getting HR to write up a new employment contract, etc.

As someone going through the process to transfer to a different area, though, I find it a bit more difficult that I imagined it. It's not that anyone is blocking me, it's just hard to decide where to go and which opportunity makes the most sense for the next two years.