Read the fine print of your stock sharing program to be sure.
However, if it's vested, it's yours. It may still be restricted (that is, you can't sell it or cash it in right away.) But the fact that it's vested means that if you leave employment, that amount belongs to you.
My wife left a company while still having restricted stock, but it was 100% vested. They had it in a brokerage account which she was required to sign up for as part of the stock sharing program. After a few years, the restrictions were released, and she could trade the stock. At that point, all communications were with the stock sharing trustee, not the company.