I fly CX very frequently and credit to AA. I agree with the above posts. However I have a problem with about one flight in 8 never crediting on its own. It will be very strange because my AA# printed on the BP and connecting flights credit but a random CX flight will not.
It never works to do the AA online credit request. Most of the time the mail in request works and occasionally I have to follow up with a phone call to AAdvantage after a few months.