Sitefinity support Azure deployment as Azure cloud service, Azure websites are not supported.
For Azure deployment use Sitefintiy Thunder visual studio plugin
which automates configuration preparation to deploy sitefinity in the cloud, scripting and uploading the database to SQL Azure, creation of the cloud service where the site will run, packaging and uploading the Azure deployment package.
For Azure storage refer to this
To deploy sitefinity on IIS refer to the IIS requirements
on IIS settings required to run the site. In IIS sitefinity is deployed as standard asp.net web application.
All the best,
the Telerik team
Do you want to have your say in the Sitefinity development roadmap? Do you want to know when a feature you requested is added or when a bug fixed? Explore the Telerik Public Issue Tracking
system and vote to affect the priority of the items