Natural:
If you haven't got (any) fresh chicken, I'll take frozen.
If you haven't got fresh cream, I'll take canned.
If you haven't got any fresh cream, I'll take (some) canned.
Not natural:
If you haven't got a fresh chicken, I'll take a frozen
(one is needed)
By adding the singular article a, you also need to point towards a singular chicken using one. (Or indeed you could just say "chicken" again.) When you omit the article, there is no requirement to do this.
