Hiding Share and Release button for few managers

Summary

Would like to hide Share and Release button available in performance document for certain period for certain population

Content

We got a requirement from one entity who wants to hide the Share and Release button available in the Year-end performance document for certain period. Once the ratings are finalized at the organization level then want to enable it again.

This is because if managers are sharing the document to the employee without the organization level rating, so to avoid this they want to hide the button for certain period.

Guess this can be done through customization but it may impact all the managers. So would like to know any other ways through which we can achieve?