There is this friend of a friend of a cousin twice removed.... anyway, who knows a lawyer, preferably in the Zug or Zürich area, who knows a thing or two about malpractice? Any recommendations would be most welcome.

Your first stop might be the Ombudsman,

https://www.ch.ch/en/ombudsman-service/

I think in this case somebody with medical knowledge is required and I wonder if the Ombudsperson will be of any help. As it is, the hospital in question has offered a small sum as compensation, which they only do because they are such nice people - not that they did anything wrong - and in return the person in question has to sign a form stating that no further claims will be made, and I smell a rat.

Why would the hospital pay voluntarily (aus Kulanz) when they did nothing wrong, and why are they trying to make somebody sign they will have no further claims - again, if they did nothing wrong?

So somebody needs to get a look at the files and that should be a lawyer, since costs for further treatment resulting from malpractice MIGHT be very high.

OK, let me rephrase it: Could somebody recommend agood lawyer in general?

I know I could google it or look in the phone directory, but I'd rather have a recommendation for a good one.