The feature was there, then was removed, readded, may be US-only now? I don't know WTF they're doing, but for shopping/donations I need to launch a non-Firefox browser.
This was annoying to me as well, but I simply just memorised all my cards. I had to type in so many times it kind of happened. Now I can type in my number faster than if I had to reach for mouse and select a card from a drop down.
Alternatively, if this is your _only_ reason for using Chrome, then just type them in? It's a minor inconvenience at the most.