jist: You should read further down on the website (below). While there is no appeal to the ICC, the winning party can go to court to have the award enforced, while the losing party can claim that there were certain specific irregularities during the proceedings so that the award should not be enforced. However is is usually very hard to have the award overturned.
Court judgements in commercial cases can usually be appealed at least once, often more than once, to higher courts. This is not true for arbitration. There is generally no appeal at all permitted from an arbitral tribunal’s award in an international arbitration. The result is absolutely final, subject only to a request to set aside the award due to procedural irregularities such as an unfair procedure or arbitrator lack of independence.
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