Nate says, "Haven't I seen this man at a hot spring?" This references Mr. Batham's debut in EP015.
The entire episode is based on the "Journey to the West", which involved a human visiting another land with aid from animals.
For some reason, this episode was skipped in Canada and has yet to be aired in that territory.
In the English Dub, Whisper names three movies that Directator had directed, which are Jurassic Yo-kai, Darknyan Vs Supernyan, and Yo-kai Hard, which are obvious references to Jurassic Park, Batman V Superman, and Die Hard. These are not mentioned in the original Japanese version.
Directator also mentions Supernyan, which is most likely a coincidence as Yo-kai Watch 3 wasn't localized or made at this time of the episode's airing in both Japan and the United States.