This is one where if you have the time and effort to dedicate to it, can be simple. You memorize your deck, so when they tell you the card, you thumb to it and flip it so when you fan it, the card they picked is upside down.
[1] https://www.amazon.com/U-S-PLAYING-CARD-COMPANY-SG_B002MI1B3...
A box of invisible cards.