American Express offers its Global Dining Collection program to The Platinum Card from American Express cardholders and to Centurion (Black Card) customers.
These are top restaurants where American Express has an arrangement to set aside some tables for cardmembers. You’ve had to make bookings through their concierge service. They’ll be launching searches for reservations, including special set-aside availability, through the American Express mobile app first in the UK starting next month and then in the US next year.