We see Green Morays almost every time we go diving, and the ones around here are not intimidated by humans.  Divers may be feeding them lionfish- which removes a few of the invasive lionfish, but also gets the animals used to interacting with us.  

This moray seemed determined to occupy the same spot as a grouper.  Note the spiny look of displeasure on the grouper.

The morays are very graceful swimmers, and Lorenzo loves finding them.  But what a primitive-looking creature!  Best advice:  keep your hands out of its mouth.