Arrays do not override the method Object.equals()(which is used ArrayList.contains()to compare objects). Thus, the array is only equal to itself. You will need to go through the list and compare each element with your array using Arrays.equals().
I suspect you should not have List<int[]>, but << 24>. The Coordinate class can then override equals()and hashCode(), and you can use
example.contains(new Coordinate(2, 4))
List<List<Integer>>, , , (.. , ), Coordinate.