"Australian batsman Mike Hussey exited the Champions League Twenty20 over the weekend to return home to Perth for family reasons," media reports stated.
"A Chennai representative confirmed the 37-year-old West Australian had already left the tournament because of 'personal reasons'."
Chennai along with two other Indian Premier League franchises -- Kolkata Knight Riders and Mumbai Indians -- have crashed out of the event.
Delhi Daredevils are the only IPL franchise still in contention for going ahead.
Hussey played in Chennai's opening match against Sydney Sixers but missed the next two games.