You could just capture stretches of non-quote characters that are between quotes:

#!/usr/bin/env perl
use strict;
use warnings;
use feature 'say';

my $string = q("qazwsx" "edcrfv" "tgbyhn");
my @array = $string =~ /"([^"]*)"/g;
say $_ for @array;

__END__
qazwsx
edcrfv
tgbyhn
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