They will show under Pending. Membership Rewards earned on a statement are always posted on the following statement. Bonuses for a welcome gift, retention gift, spend bonus, and Amex Offers usually post immediately.
Example: You earned 10,000 MRs on your statement ending July 10th. Those will post on your statement ending August 10th.
If you can already see your points in pending status you can always hop on chat and ask if they'll accelerate them for you if you really need them. It's a roll of the dice...sometimes they will, other times they won't...but it doesn't hurt to try.