Can IS DISTINCT FROM be combined with ANY or ALL somehow?

Question

Is a postgres way of combining IS DISTINCT FROM with ANY or some other neat way of getting the same result?

select count(*)
from (select 'A' foo union all select 'Z' union all select null) z
where foo <> any(array[null, 'A']);

 count
-------
     1
(1 row)

select count(*)
from (select 'A' foo union all select 'Z' union all select null) z
where foo is distinct from any(array[null, 'A']);  

ERROR:  syntax error at or near "any"
LINE 3: where foo is distinct from any(array[null, 'A']);
                                   ^