Rosberg has opened up a 33-point lead over his Mercedes teammate Lewis Hamilton after the two-time defending champion could only manage third place at Suzuka.
Hamilton made his attempted overtaking move on the chicane on lap 52 of 53, but Verstappen was alert and closed him off.
Mercedes later lodged an official appeal over the incident, but it was later withdrawn, apparently at the request of Hamilton, although the team later denied this.
"There is no protest from myself. Just heard the team had but I told them it is not what we do. We are champions, we move on. End of!" Hamilton tweeted.