The items have their own associated array index so I don't see you really need to store sequential numbers as well

#!/usr/bin/perl
package MyClass;
use strict;
use warnings;

sub new {
  my $class = shift;
  my $self = {
    menu_items => _quote_items(shift),
  };
  bless $self,$class;
}

sub _quote_items {
  my $ar = shift;
  $_ = "'$_'" for @$ar;
  return $ar;
}

package main;
use strict;
use warnings;
use Data::Dumper;

my @array = ('Option 0','Option 1','Option 2','Option 3','Option 4');
my $obj = MyClass->new(\@array);
print Dumper $obj;
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