Normally you should be fine as long as the OW status is printed on your boarding pass, as aaupgrade mentioned. This is always how it works for me when accessing an Admirals Club location, as well as the CX club at CDG.

However, on recently flying through NRT, I was asked for my AA Platinum card when accessing the Qantas Club there. I reminded the agent that Sapphire was printed on my BP, but she wanted the card to be sure, or to input my FF number, or something like that.

You don't make it clear if you've had OW Emerald or Sapphire status in the previous year; if so, you might carry that card with you until the new one arrives.

Peace.