To Upgrade the PHP Version of your server, there is no need to contact Tech Support and raise a Ticket which is billable 
You yourself can Upgrade your server’s PHP Version to latest PHP Version if you have access to WHM i.e Web Host Manager
Let’s see How you can do this your own.
Step 1: Login to WHM
Step 2: Look for Easy Apache or Apache Update Under Software Section of WHM and Click on that
Step 3: Now, Choose the Profile which you want to Customize or Rebuild Totally , i prefer Customizing the default one so, Click on Start Customizing the Profile
Step 3 : Choose the Apache Version Click Next
Step 4 : Choose the PHP Major Version presently 5
Step 5 : Choose the PHP Minor Version presently Latest stable release is 5.2.9
Step 6 : Save and Build Now
Once You say Build it will take min of 15 to 30 min depending on the Modules you have selected to update , So be patient till You see Build Complete
Once after completing , carefully follow the screen instructions to save the new config.
!!Congratulations!! you are done.
Apache is Updated , Now go back to your website and create a info.php page and paste the following code
<?php
phpinfo()
?>
You will see your PHP Version Upgraded to the latest version what you have selected ..
