I am currently on Linux. Is it possible to bring this site of mine to MS Cloud?
This is not really a PowerShell question or issue to resolve with it. Which is why this site exists, to help you with PowerShell specific concerns.
When you do post here, you should show your code, input, expected output and errors, in order for folks to try and help.
As for your query.
MS allows you to deploy Linux servers to Azure as easily as you can with Windows servers. You purchase an Azure subscription, spin up your server OS of choice, install/configure your webserver software and deploy your site. Just as you would do on-premises, from one company to another.
Just go to the MS Azure website, to get info on purchasing, and technical guidance.
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