ZACH: Enjoy your champagne and caviar at The Ritz, Your Highness.
Zach refers to the Ritz-Carlton chain of luxury hotels, first begun by Swiss hotelier César Ritz, and perhaps most famously, the founder of the celebrated Hôtel Ritz in Paris, opened in 1898. The name was bought and franchised by Albert Keller in the US, with the first Ritz-Carlton hotel opening in New York in 1911.
Zach may be specifically thinking of the Ritz Hotel in Manhattan at 50 Central Park South. Originally the Hotel St. Moritz, it was bought in 1999 and had just opened the previous month to this episode, in April 2002.