There are a lot of different hosting options depending on your exact needs. These options would vary in terms of complexity and cost. If this is a static website (you just mentioned HTML) then perhaps the easiest option for you is to host only a blob storage account using the static website feature here.
Please review this doc to see if this meets your requirements:
https://learn.microsoft.com/en-us/azure/storage/blobs/storage-blob-static-website
...and here is a how to guide to set this up:
https://learn.microsoft.com/en-us/azure/storage/blobs/storage-blob-static-website-how-to?tabs=azure-portal