A shell trick from Net::SSH2 might help. This will start execution, then detach completely and allow the SSH2 connection to close. Possibly the syntax for the exec of the shell command can be used in the modules you are using to completely detach, or used in Cron.

#!/usr/bin/perl
use Net::SSH2;

# logon and object setup code omitted for clarity

my $chan = $ssh2->channel();
$chan->blocking(1);

$chan->exec("nohup /home/zentara/perlplay/net/zzsleep > foo.out 2> foo
+.err < /dev/null &");

$chan->send_eof;

exit;
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