Can You Put A Job You Were Sacked From In Your CV?

A contract staff was queried on marketing report without prior notice/warning (they are to followup customers and prospects everyday and write a report on the outcome). he was accused of putting in some ficticious names and information. He was found guilty by disciplinary panel and dismissed on grounds of falsification of information, deliberately misleading panel and doubtful integrity.

He is looking for another job.
HR personel in the house, can he include the experience he has with the said firm on his CV?
will it affect his chances of getting another job?

note: its not a fraud case or money issue. The victim was witchhunted.

source http://www.nairaland.com/6385335/put-job-sacked-cv