hide-admin-notices.php

<?php

// Hide Admin Notices
function hide_update_msg_non_admins(){
    if (current_user_can( 'manage_options' )) { // User Caps
        echo '<style>#admin-notice { display: none; } .e-notice--dismissible { display: none; }</style>';
    }
}
add_action( 'admin_head', 'hide_update_msg_non_admins');

// Alternate Version - More PHP Focused
function dsourc_hide_notices(){
	$user = wp_get_current_user();
	if (!($user->roles[0] == 'administrator')) {
		remove_all_actions( 'admin_notices' );
	}
}
add_action( 'admin_head', 'dsourc_hide_notices', 1 );

There are some edits to make these customizable to your needs:

• Change/Update line 5 for the user role cap you want to affect
• Change/Update line 6 to reflect the CSS selector/ID of the notices

Alternate Version

1. Line 12: Create a Function name as you want.
2. Line 13: fetch the Current user, whether he is an admin or on your custom role user,
3. Line 14: Detect your admin pages by using “if (!($user->roles[0] == ‘administrator’))” You need to know when to remove the notices and limit that action only to your administration pages. Hence, you need a way to determine when the user is looking at your pages, for example, looking at the “page” request parameter.
4. Line 15: Remove all registered admin notice actions WP lets everyone to remove all attached functions to an event, so we can remove all other plugins/theme actions.
5. Line 18: Add action to remove notices.