If you just want to avoid typing $self->other_method from with a sub method { ... } object method, unless you use shift to pull $self out of the argument list, remember that you can always just pass @_ to a function to pass arguments as-is. Thus, you could do:

sub method {
   my ($self, $arg) = @_;

   # do stuff with $self perhaps

   other(@_);   # equiv. to $self->other($arg)
}
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But this is kind of goofy. It's clearer to write it out the correct way, so that you and others maintaining your code in the future don't ask themselves what in the hell you were doing:

$self->other($arg);
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Does this help at all?