I ask for their card and write info on the back of it. I have never refused to give someone my business card. That's what they're for, for goodness sakes. Besides, I have gotten business from people who received my card from someone else. Don't be stingy! -- Resli Costabell. A few approaches: 1  Give them your card anyway.ay, I'm in the process of having new cards printed. If you give me your card I'll mail one to you when they are finished.. Or, pretend to search for a card and say, I just gave away my last one a few minutes/hours ago. If you give me your card I'll send one to you..