you can create a function which gives you all users which have role author in a drop down list.
Note: It is a dummy example modify it as you want( put this function in functions.php
or custom plugin
).
Use: Call this function any where in theme like <?php ravs_author_dropdown_list(); ?>
function ravs_author_dropdown_list() {
// query array
$args = array(
'role' => 'author'
);
$users = get_users($args);
if( empty($users) )
return;
echo'<select>';
foreach( $users as $user ){
echo '<option value="'.$user->data->user_login.'">'.$user->data->display_name.'</option>';
}
echo'</select>';
}