No - it's not another French recipe but it sounds rather uncomfortable.
It is but usually, it's more of a tickle. Sorry, I have a frog in my throat is the sort of thing you might say when you need to clear your throat, before making a speech, for example.
Without going into too much detail, the material you might bring up is called phlegm.(Silent g - pronounced flem) The comedy programme called The Fast Show created the character Bob Flemming. Here he is with his friend who also has a bit of a problem.