Storing factories instance

Let's say I have theses classes A (Client), B, C.

Class B needs to create an instance of Class C, then do some operations on that instance.

However, Class A needs to do some cleanup on that instance after Class B has run, but it is unable to do the creation of Class C for B as B as certain configuration options it needs to pass to C during creation.

What is the best cleanest pattern for doing this?

I was thinking of having A create a Factory which B then calls make with its extra arguments. However, that would still not grant access to the instance of C to A (It is not viable just to return C).