I would definitely bring all this up to the new director after they start, but don't frame it as "I got pulled off my other team and I'd rather be there." Inste

I would definitely bring all this up to the new director after they start, but don't frame it as "I got pulled off my other team and I'd rather be there." Instead just frame it as part of the standard 1:1 getting-to-know-the-new-guy stuff. Explain your interests, explain what you did in the past on that other team/domain, explain how you think that can help with the new team and how you can be available for the other team.