Mage::getSingleton('checkout/type_onepage')->getQuote()->getShippingAddress()->getCountryId()

$this->getQuote()->getShippingAddress()->getCountry()

app/design/base/default/template/checkout/onepage/shipping_method/available.phtml

<?php //Show extra shipping options only if the shipping address is outside of FRANCE ?>
<script type="text/javascript">

  var countryID = '<?= Mage::getSingleton('checkout/session')->getQuote()->getShippingAddress()->getData('country_id') ?>';
  jQuery('#ownTransport')[countryID == 'FR' ? 'hide' : 'show']();

</script>

app/design/XXX/XXX/template/checkout/onepage/shipping_method.phtml

<form id="co-shipping-method-form" class="stack-form" action="">
<div id="checkout-shipping-method-load">
    <?php echo $this->getChildHtml('available') ?>
</div>

<script type="text/javascript">
    //<![CDATA[
        var shippingMethod = new ShippingMethod('co-shipping-method-form', "<?php echo $this->getUrl('checkout/onepage/saveShippingMethod') ?>");
    //]]>
</script>

<div id="onepage-checkout-shipping-method-additional-load">
    <?php echo $this->getChildHtml('additional') ?>
</div>

<?php //ADD AMASTY FIELDS ?>

<?php //Show extra shipping options only if the shipping address is outside of FRANCE ?>

<div id="ownTransport">
<?php
    echo Mage::helper('amorderattr')->fields('shipping_method');
?>
</div>

<div id="shipping-method-buttons-container" class="buttons-set">
    <button class="button" onclick="shippingMethod.save()"><?php echo $this->__('Continue') ?></button>
    <span class="please-wait" id="shipping-method-please-wait" style="display:none;"><?php echo $this->__('Loading') ?></span>
</div>