@Waghe Pranav Suhas Welcome to Microsoft to Microsoft Q&A Forum, Thank you for posting your query here!
Azure Stack HCI is really just a hypervisor running VM's in a cluster. So the Database that you eventually run on these servers is not really much of an impact to the HCI. The only thing that would cross my mind is when you look at licensing but technically any DB should work as long as it can run in the VM
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