Depends generally on the size of the fish. I haven't read your other post so i'm unsure what fish you are adding. Seeing as you have a Parrot i'm guessing they are fairly big?
It isn't worth adding all the fish in one go as you risk putting too much strain on the 'friendly bacteria' inside your filter. Basically, the new fish will produce too much waste that you won't yet have enough bacteria too break this down inside of your filter.
It is worth adding a few at a time and then waiting, just a week maybe, and adding some more. This also has the benefit of being able to spot disease or aggression. If you introduce a few fish at a time and the tank crashes from disease etc. then at least you are only losing a few fish rather than loads.
Hope this helps
TIM