Court of Appeals

In Texas, we call it a court of appeals, not a court of appeal. Thus the possessive becomes a problem. One commenter and others I have consulted prefer this form for a singular possessive:

• the court of appeals' opinion

which looks better than--

• the court of appeals's opinion

but others always write around it--

• the opinion of the court of appeals

By the way, if you are talking about two courts, it's--

• the courts of appeals

As you can see, the exciting issues in legal-writing are endless. Here I am. Rock me like a hurricane.