i think its possible mate. but never tried though. Since the parking companies does not provide a hosting space nor a file manager, you have to try the 'add a new DNS record' verification method at your registrar. https://support.google.com/webmasters/answer/35179?hl=en
Check this out I havent tried it but dev says it works http://icode4you.net/how-to-use-google-analytics-on-a-parked-domain/