George,
You can create a hash of arrays.
That way your array is 'named' by hash
However your foreach loop dosen't make much sense to me in this context. I think you need to declare $val perhaps?

my %hash;
foreach my $val(@array){
   push @{$hash{$val}}, database_call($val)
}
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To then print a particular named array

foreach(@{$hash{$val}}){
   print $_
}
#to find a particular item in a particular array
print $hash{$val}[$arrayid]
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