Not sure how your system works, but here, while you have a right to file an appeal, the appellate court is under no obligation to grant "leave to appeal" (meaning they believe you might have a valid case to argue). IIRC, in the US, the appellate court simply returns the case to the lower court.
If the case is clearly frivolous, the lower court judge is likely to word his decision in such a way that it would be very unlikely the appellate court would grant leave to appeal. He basically leaves no room in his written decision for an appeal to even be heard. If the appellate court declines to hear the case, its all over Rover, you cannot leapfrog to the next higher court.
Is this how it works in the US?
It seems similar. Any case can be appealed. The appellate court will review the appeal. But it could be tossed out if there isn’t a valid case.
An appellate court is not a second chance to review a case. The district court makes the decision, and that is the decision. You can’t really ask an appellate court to review that decision.
You can appeal if there is a reason that the lower court did not handle the case properly. For example, if there is a criminal case and the judge does not allow the defense to enter certain evidence and the person is convicted, that could be appealed to argue that the judge erred and the evidence should have been admitted. The appellate court does not review the decision on the case. They just review on whether the judge made an error. If they sustain the appeal, they remand the case back to the lower court to try the case again with instructions to allow that evidence.
But that can get a bit confusing. The appellate court, in some circumstances, may make a final decision. That is especially true if the case is really about an interpretation of the law or the constitution. The appellate court determines the interpretation, which essentially decides the case, so the appellate court just issues a final ruling.
For cases that are clearly frivolous, the lower court will usually toss out the case base on the easiest first grounds. That is usually improper filing, jurisdiction, standing, failure to state a claim, etc. The court doesn’t go into all the other details of the case. That can be appealed, and the appellate court will review the appeal, but if you don’t have a real argument that the judge made an error in dismissing the case, the appeal gets denied.
The U.S. Supreme Court is a bit of an odd duck. Originally there was just the federal district courts and the Supreme Court. The Supreme Court justices would “ride the circuit” in their assigned district to hear appeals of the cases decided by the federal court judges. As more states were added to the union, that became impractical and the circuit court system (now called the court of appeals) was established.
That allowed the Supreme Court to only hear the really important cases. The Supreme Court only hears a tiny fraction of the cases presented to it. It really only deals with cases where there is a controversial issue among the appellant courts that has a national interest.
The Supreme Court has very limited original jurisdiction, meaning they rarely hear case for the first time. The mostly hear appeals. That almost always is an appeal to a decision by a federal appellate court or a sate supreme court. Many of the cases they review are matters of interpretation of the U.S. Constitution.