I am a consulting architect. Many of my customers use Azure for many different things. Personally I do not use it and have no direct hands on experience with it.
Azure documentation suggests it can support the products you use today. However there may be versions they won't support (I do not know of this is true or not) and there will be a myriad of details to iron out if you are to make such a transition.
You need contact with Azure directly for this, and of course there will be commercial matters as well which I cannot help with.
where this is stated: "and WebLogic Server—on Oracle Linux, Windows Server, and other supported operating systems in Azure.""
that one is not MOVE to azure , but is start to START in AZure, right?
but I am more on migrating to Azure, is it possible ?