As others have said, use SUPER. A more obscure option is to alias the CGI::redirect function, something like:

use base 'CGI';
BEGIN {
    *cgi_redirect = \&CGI::redirect;
}

sub redirect {
    my($self,$uri) = @_;
    $self->cgi_redirect($uri);
}
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Update:
I forgot to mention that instead of SUPER, you can also always use the full class name. You were close, but instead of CGI::redirect($self, $uri) you should use $self->CGI::redirect($uri).

This is useful (necessary) if you use multiple inheritance and both parent classes defined the same subroutine. So if you had:

package BaseA;
sub func {}

package BaseB;
sub func {};

package Derived;
use base qw(BaseA BaseB);

sub func {
    my $self = shift;
    $self->SUPER::func(); # calls BaseA::func
    $self->BaseA::func(); # same
    $self->BaseB::func(); # only way to access BaseB::func
}
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