Hi I haven't done this yet but there was a thread on this subject within the last few days that I saw, but it may have been on the Healthy Eating bit or somewhere as I like to have a nose around.
I'm sure one way was to thinly slice the courgette then leave it to dry for an hour, then cook. The post didn't explain how to cook it so I was gonna go back and check but looks like I forgot to follow the thread. If I find it I will call back in, but if not I'm sure one of the more experienced atkinsers will be along shortly to reveal all about courgette pasta to us!