Not sure what you are really asking for …
To create a full clone you need to copy and adjust a vmx-file and copy the vmdks.
To create a linked clone you need the same as above plus a function to create a snapshot.
So to create and operate full or linked clones all you need is an ESXi.
If you all you want is a right-clickable button on a webpage you need a buy vCenter, get the right browser version , learn the correct voddoo spells and so on ….
Clones are nothing more than a nice side-effect of the snapshot functionality.
You do not need vCenter to get clones …
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