...
open my $fh, ">:utf8", "accentTestOutPut.xml" or die $!;

# Print doc file
$doc->printToFileHandle($fh);
# or
$doc->print($fh);

##</code><code>##

$ hexdump -C accentTestOutPut.xml 
00000000  3c 3f 78 6d 6c 20 76 65  72 73 69 6f 6e 3d 22 31  |<?xml version="1|
00000010  2e 30 22 20 65 6e 63 6f  64 69 6e 67 3d 22 55 54  |.0" encoding="UT|
00000020  46 2d 38 22 3f 3e 0a 3c  54 45 53 54 3e 20 c3 a9  |F-8"?>.<TEST> ..|
00000030  20 3c 2f 54 45 53 54 3e  0a                       | </TEST>.|
                                                     ^^^^^

##</code><code>##

sub printToFile
{
    my ($self, $fileName) = @_;
    my $fh = new FileHandle ($fileName, "w") ||
        croak "printToFile - can't open output file $fileName";

    $self->print ($fh);
    $fh->close;
}