Which card do you have?
I have Barclays. The miles always post to AA the day after my statement close. Occassionaly it might be two days. But never more than that.
I do become frequently vexed with the posting process inside the cycle. If you have alot of charges it's challenging to match the temporary pending charges with the available credit and the balances. It can take a silly number of days in some cases to go from pending to posted. Especially foreign transactions if there's also a weekend involved. If that happens to occur right before statement close, those charges may lag a month.
But whatever's posted on the statement, posts to AA within a day or two. Every time.