I'm trying to deploy to Azure Cloud Services an Azure Cloud Project but I only can do it creating a "Package" (right click on the project/Package..) and then uploading it at the Azure website. It makes me upload all the project every time when I need to deploy any change. My user was set as an Owner into the Azure account by an other Owner and I was crate the Cloud Services "item" into the Azure portal. Why I can't do the publish process through Visual Studio? I think it will be more easy and don't need to upload all the project every time.
Finally talking with customer service of Azure (billing support as suggested @David Makogon), setting rights of co-admin or administrator did the trick. It seems that setting up my account with an Owner rights isn't enough to publish to Azure Cloud Services through Visual Studio.