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<?php
/* check if user is administrator - only show downloads menu if is admin */
add_action( 'admin_init', 'ox_remove_menu_pages' );
function ox_remove_menu_pages() {
    global $user_ID;
    //if the user is NOT an administrator remove the menu for downloads
    if ( !current_user_can( 'administrator' ) ) { //change role or capability here
        remove_menu_page( 'edit.php?post_type=wpdmpro' ); //change menu item here
    }
}
?>