Amid the debacle over whether Max Verstappen should have handed third place to Vettel after he left the track, Vettel could be heard over the radio saying: "Here's a message to Charlie: f*** off."
Following the race, Vettel, who was promoted to the podium after a penalty was handed to Verstappen, said that he went to see Whiting to apologise for his actions.
"I went immediately to see him [Whiting]," said Vettel. "For sure it's not the right thing to say, but equally, in my defence, adrenalin and emotions are pumping high."
"Out of respect, I went to him and told him what I did," he added.
With regard to his incident with Verstappen's team mate Daniel Ricciardo at turn four, which left the Australian saying that the Ferrari driver didn't deserve to be on the podium, Vettel said he'd rather look at the incident again before commenting.
"I want to look at it again," Vettel said. "I was fighting very hard. I'm supposed to give him just enough room, which I think he had."
"I knew he would go for the gap. In the end we made contact, which is never ideal. Max was brake testing me into the first two corners, I had a very bad exit and was upset that he didn't move," he continued."
"I can only say that I want to look at it again with Daniel. If there was something I will talk to him. We did everything we could to push Max into a mistake that he didn't pay for."
Bahrain International Circuit - Winter testing