Verstappen broke Vettel's record for the most successive wins in F1 history at the Italian Grand Prix, when the Red Bull driver took his 10th consecutive victory.
That success triggered some controversy when Mercedes boss Toto Wolff later downplayed the significance of the achievement, stating that it was something totally irrelevant to him.
"I don't know if [Verstappen] cares about the records. It is not something that would be important for me, those numbers," he told Sky Sports.
"It is for Wikipedia, and nobody reads that anyway."
Wolff later clarified that his choice of words was probably not the most intelligent to make, as he was left on the receiving end of some criticism.
Speaking at the Japanese Grand Prix on Thursday, Vettel said that Verstappen could not be praised enough for everything that he had achieved and the way he was driving so brilliantly.
"I think people don't like watching the same driver win," said Vettel, speaking at the launch of his 'Buzzin' Corner' biodiversity project.
"There's Max today. There was Lewis. There was myself. There was Mika [Hakkinen] at the time, and there was Michael [Schumacher] obviously, throughout a long time.
"So, I think it's part of the sport. But it's really you should be lucky that you're able to witness history in the making. And what Max pulled off this year is amazing.
Source: Autosport