You can create a regular expression from the $sample and then just match each option against it:
#!/usr/bin/perl
use warnings;
use strict;
use feature 'say';
my $sample = "A-E-H-L";
my @options = ( "A-B-F-G-H-K-M",
"A-E-G-H-L",
"A-C-E-G-H-J-L",
"B-F-H-K",
"A-B-F-G-H-K-L",
"C-H"
);
my @search_for = split /-/, $sample;
my $re = '(?:^|-)'
. join('(?:-|-.*-)', @search_for)
. '(?:-|$)';
say for grep /$re/, @options;
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