Persona 4: Arena hit the ground running with its console release. The Atlus/Arc System Works collaboration sold some 138,000 copies in its first week in Japan, roughly 90% of stock. This trumps the previous record set by a fighting game, 103,000 for Tekken 6 in 2009.
Of further interest for the series: Famitsu leaked an interview with Team Persona producer Katsura Hashino, stating that the next numbered Persona game is in development. While this likely means Persona 5, it was not explicitly stated thus, and a remake of a past game is not out of the question.