New bosses don't necessarily want to admit that they are behind the learning curve in getting acclimated to a new company or division. They are struggling to get caught up with priorities, challenges, and opportunities, all while trying to get to know the team that will take them there.
Be willing to share in a helpful way to give the new boss the knowledge and tools to get them up to speed as soon as possible. You could gain a very powerful career advocate as a result.
You don't need to be a classic "brown-noser," but proactively providing updates on project status or other work you are conducting is one less question or request that the boss has to make. If you reliably turn in work or reports on-time and in an organized fashion, you'll be perceived as
professional and as the department standard.
If you are always in the background, now is the time to jump in. If you aren't seen as an active participant on the team, this could be a red flag to a boss who might be surveying the landscape for potential house cleaning later. Be a positive contributor.
If your new boss has not done so already, set up a time to meet with them to provide an overview of your work and to allow them to get to know you better. Building connections will also help you both assess your working styles to figure out how you will be able to
communicate best. This can lay the ground work for a great collaborative working relationship.