I still have some problems parsing your text. I understand that English may not be your mother tongue, it's not mine either. I feel like suggesting you to concentrate on the (possibly ) few relevant points with your issue and ignore anything else that may contribute the the noise/signal ratio of your post.
I am getting the hash reference values from the database through the keys of the hash values.
Ok, you have a hashref, period. You want to push its values into an array, right? Then the suggestion I gave you in my other reply should be fine. Did you try it? Does it work? Any inconvenience with it? Or else you may directly dereference the hashref as a whole and combine the two mentioned functions in one sweep:
push @array, values %$hashref;
I have a record with 3 fields in my backend.
[...]
Snip!