Modules are updated according to prestashop core file updates. However the currently installed shop may not be compatible with the latest module updates. To prevent accidentally breaking the shop due to incompatible module updates,
Go to Administration Preferences to disable Automatically check for module updates
The following help to remove the update notification listing doesn’t remove the module button highlight but it is good enough for now.
Source: http://www.prestashop.com/forums/topic/319074-solvedhow-to-remove-bo-module-update-notifications/
I remove the next code from <admin directory>/themes/default/template/controllers/modules/page.tpl:
Lines 70 to 80
****************************************************************************************************
{if $upgrade_available|@count}
<div>
{l s=’An upgrade is available for some of your modules!’}
<ul>
{foreach from=$upgrade_available item=’module’}
<li><a href=”{$currentIndex|escape:’html’:’UTF-8′}&token={$token|escape:’html’:’UTF-8′}&anchor={$module.anchor|escape:’html’:’UTF-8′}”><b>{$module.displayName|escape:’html’:’UTF-8′}</b></a></li>
{/foreach}
</ul>
</div>
{/if}
****************************************************************************************************