I installed it but nothing happens. It does not work.

this plugin needs update to a latest version 4.0

https://www.ads-software.com/plugins/prevent-password-reset/

Absolutely handy plugin. Would it be possible to include an option for restricting which users the checkbox shows up for based on their role?

I could think of this being useful where only users above a certain role (staff) are allowed to prevent the resetting of their passwords, while normal users would still have the ability to do so.

https://www.ads-software.com/extend/plugins/prevent-password-reset/