Wordpress - Disable user notification on password change
Add this line to your function file to disable default password change notification in wordpress.
To disable the notice of changed email sent by the wp_update_user() function, simply use the filter hook to return false:
add_filter( 'send_email_change_email', '__return_false' );
Reference - https://codex.wordpress.org/Plugin_API/Filter_Reference/send_email_change_email
Method 2
if ( !function_exists( 'wp_password_change_notification' ) ) { function wp_password_change_notification() {}}
put this code in your plugin file for method 2.Note - it will not work if you put in your theme function file
Reference - http://www.wpbeginner.com/wp-tutorials/how-to-disable-lostchanged-password-emails-in-wordpress/
Method 3 - use this plugin to get required output