Google (and Alphabet by extension) can shut down their channel. That's easy enough.

As far as having them arrested, well...that's complicated. YouTube hosts servers all over the world, and not everywhere in the world has the same laws, so while Anonymous might be breaking the Las in Iran, for example, if the original poster is in South Africa, they have no agency to perform the arrest. Of course, Google doesn't have arrest power to begin with, but they couldn't even coordinate with local law enforcement. You can't be arrested for something that isn't a crime.

Next comes tracking. After all, you can't arrest someone you can't find, right? But here's the thing. "Channels" belong to individuals. Anonymous is an organization. And its an extremely dispersed organization, at that. More like a social club in terms of hierarchical organization. So, at best, each "track" leads back to one person. Shut down the channel first and you don't even have that. Then, you have to consider VPNs. If the uploaded is using one, they aren't really trackable at all (AFAIK). And given the hacker nature of the group itself, they're probably using custom-built VPNs, so the VPN provider can't help there, either. Then there's masking (assuming you can through the VPN): masking is another way to disguise your location.

And finally, because Anonymous is a group, not an individual, if you reallybwanted to het them all, the whole tracking and coordination aspects would have to be done in complete secrecy right up until the moment doors get kicked in. Assuming 1000 members in 20 countries (a conservative estimate if ever there was one), there's no way to successfully coordinate that and keep it secret. It's just not logistically or politically feasible.

And, in the end, the ultimate question: Why would they even want to try?