You get that behaviour by default.

{
   package Parent;

   sub new {
      my ($class) = @_;
      return bless({}, $class);
   }

   sub finalise {
      my ($self) = @_;
      $self->finalise_body();
   }

   sub finalise_body {
      my ($self) = @_;
      print(__PACKAGE__, "\n");
   }
}


{
   package ChildWith;
   our @ISA = 'Parent';

   sub finalise_body {
      my ($self) = @_;
      print(__PACKAGE__, "\n");
   }
}

{
   package ChildWithout;
   our @ISA = 'Parent';
}

{
   ChildWith   ->new->finalise();  # ChildWith
   ChildWithout->new->finalise();  # Parent
}
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In C++ term, methods of this type are called virtual methods.