Everything can be done.
But it depends on what trademark you register and where you sell it.
If it is held by a domestic-funded enterprise or domestic person and sold domestically, it can be handled at trademark offices in various places.
If it is owned by a foreign enterprise and sold in China, it is also handled by a domestic trademark office. This is a foreign-related trademark, and I can also register it as an agent.
If it is owned by a foreign company or a Chinese company and sold abroad, it must be registered locally. Haha, I can register it as an agent. This is a foreign trademark.