@Vincenzo -- I think the appeals process would deal mostly with questions over damages -- money owed to the landlord. If a tenant has a major dispute with that, then an appeal is more likely. The appeal isn't over the underlying eviction, then -- just the damages.
By the way, a lot of evictions are heard in minor courts (municipal or district courts) and can be appealed directly to circuit court. That is handy because an appeal doesn't involve petitioning the state court of appeals and the process is, therefore, less expensive and a lot faster.