A few comments:

• $field-2 is not a valid variable name, so I have replaced it with $field_2
• In order to get your complete output you need to store the full line of data. So I have changed the while statement, see below.
• You do not need chomp as you are only looking at the first two fields. When $line is printed later, the newline is desired anyway.
• $field2 = $field-2 is an assignment not a comparison. Use eq to compare strings, see below.

foreach my $file_name (@array) {
    open FILE, "$file_name" or die "File not exists";
    while ( my $line = <FILE> ) {
        my ( $field1, $field2 ) = split /\,/, $line;
        if (exists $records{$field1}) {
            $field_2 = $records{$field1};
            if( $field2 eq $field_2 )
            {
                print OUTPUT $line;
            }
        }
    }
}
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