The Dragons' Den panellist was spoofed by Enfield on Harry & Paul but told him that she was thrilled by the parody when they met at the ballet.
Meaden told the Daily Mail: "He said: 'Are you all right with it?' I said: 'I'm flattered, you know who I am. You're a comic genius.'
"In fact, James [Caan] wasn't in the spoof, and if I were James I'd be mortified."
Of being recognised in public, she added: "I don't find it irritating and there is no point me complaining about it. I chose to be in the media and it goes with it.
"I don't get people who put themselves out there and then complain about the fact that they get attention."
Show producers are currently inviting applicants for the next series of Dragons' Den.