In terms of your company's process & SLAs, you'll need to reach out to your T&E back office - they will advise what your organisation's contracted billing / payment terms are and then what the timeframe for expense submission, manager approvals & back office reviews are to meet the agreed AMEX payment deadline.
What you can see in Concur, against each transaction, is the Billing Date (i.e. the cycle close / statement date). On the card item in Concur, click on the Payment Type Name (it'll say something like: "<your company> AMEX IBCP") to get the pop-up and in here you'll see the Billing (Statement) Date.
Of course, as a card holder, you should always monitor your AMEX@Work account and download / review your statement document ahead of creating your Concur expense claim, to ensure the account itself is in good order.
I hope this helps!
