@Giannis Aidinis : Do you mean on one of your virtual machines that are connected to the service? You can do this by going to Azure, finding the virtual machine that you created, then assigning it a public IP address since the virtual machine is in your subscription and in your control.
@4egtfk , @Giannis Aidinis : What exactly would the Static IP address be used for? Is this for any communications out from the VMs when you have an active session and you're browsing the Internet, etc.? If so, I did find an article how outbound connections from a load balancer