*unappealable*

a. 1. Not appealable; that can not be carried to a higher tribunal by appeal; as, an unappealable suit or action. [ 1913 Webster ]

2. Not to be appealed from; -- said of a judge or a judgment that can not be overruled. [ 1913 Webster ]

The infallible, unappealable Judge [ God ]. South. [ 1913 Webster ]

We submitted to a galling yet unappealable necessity. Shelley. [ 1913 Webster ]

-- Un`ap*peal"a*bly, adv. [1913 Webster]