FOX has posted the Hell’s Kitchen episode on their website to watch: http://www.fox.com/full-episodes
Currently, you must be with one of the cable companies listed on the page to be able to unlock and watch, the episode should be unlocked for everyone else to watch a week after its initial airdate. (There may be some restrictions for regions outside the US)
Hanson’s appearance comes about 40 minutes in to the “4 Chefs Compete” episode. (Episode 15)