Q: The new VP of my group just cleaned house; several directors between her level and mine lost their jobs. I am not worried about job security but wonder how to ride out the change and get work direction when I need it. What do you suggest?
A: Stay level-headed, use your best judgment on getting your work done, and don't be shy about reaching out to the VP while the situation stabilizes.
The inner game
At your level, you likely have a good sense of what you need to do day to day. Just stay the course on that, so that everything that can be steady will run smoothly.
Do an extra layer of planning, thinking about the role each of the directors had with you in terms of both inputs and outputs. For inputs, look at the direct information you're accustomed to receiving from each, and determine possible new sources. If they were simply a conduit, identify the original source. In terms of outputs, consider which people or departments are affected by your work, and map out whether there is now a broken connection because of a director's departure.
Look up the ladder, and imagine the situation from the VP's perspective. What can you do to make her job easier? If she is giving you direct information about what she wants from you, so much the better. However, it sounds like that might not be the case, so it might be up to you to offer ways to help.
Then consider the situation of your direct reports, the level of anxiety they're showing and approaches you might take to ease their concerns. And, while it's not your direct responsibility, consider whether you can help with those in the affected departments.
Finally, think longer term about your goals, and whether this offers you an opportunity for advancement. If so, make a plan to explore the opportunities that may be available.
The outer game
Your VP's workload will have increased a lot with this change. She is going to appreciate someone who is willing to help, and who is able to solve most of their own problems with minimum involvement. So even though you may need to ask for her support, be sure that you have thought through some good solutions. If you see things that need attention, let her know — along with a recommendation for action and offer to follow through, even if they are not part of your regular role.