"受理上诉的法院" can be translated into English as "the appellate court that accepts the appeal" or more concisely as "the court of appeal hearing the case" (depending on the context, the latter might imply the court is currently in the process of hearing it, while the former more directly states the court's role in accepting the appeal).
A more straightforward and commonly used translation in legal contexts would be:
"the appellate court" (when it's clear from the context that this court is the one accepting or hearing the appeal)or, to be more specific:
However, in most legal documents and discussions, simply saying "the appellate court" is sufficient and understood to mean the court responsible for hearing appeals from lower courts.