wildoperation

Stop password changed emails from being sent to site admin after a user resets their password.
This plugin has no settings. Just enable the plugin, and the outgoing admin notifications will be disabled.

Disable Password Changed Admin Email

Stop password changed emails from being sent to site admin after a user resets their password.

Dugonja

This plugin will enhance security of your WordPress site by disabling password reset function over email of WordPress. 
Use with caution since otherwise if you forgot your user password you will need to reset the password directly in the database with phpmyadmin or similar tool. 
Adittionally this plugin will hide notice which say what is wrong “password” or “username” on WordPress login page.

Disable Password Reset

Enhance security of your blogs by preventing password reset over email function.

Disable Password Changed Admin Email vs Disable Password Reset