Terry issued a statement on Sunday saying the incident during the West London derby, which QPR won 1-0, was the result of a misunderstanding.
However, he was waiting to hear if Ferdinand, the younger brother of his longtime England colleague Rio, would be making a formal complaint against him.
"John is a player who represents this country to the highest level internationally. He is a player of great responsibilities. He said to me the incident was a big misunderstanding," Villas-Boas told a news conference on Tuesday.
"That's why he put his statement out straight away.
"I find it strange when people don't trust the words of a representative from your country."
Terry told the Daily Mail newspaper on Tuesday: "Anton and I spoke for 10 minutes in the dressing room after the game and there is no issue between us, it's finished."
Villas-Boas agreed that was the case when he said: "Anton was present in our dressing room. For us, it was the end of the story and it still is.
"It's just a misunderstanding and something blown out of all proportion. People who represent this country should have better and fuller support."
A police spokesman said in a statement: "We can confirm that police have been notified of an incident on Sunday 23 October involving alleged racial abuse.
"This is currently being assessed by officers from Hammersmith and Fulham."
The first was when Frenchman Patrice Evra of Manchester United accused Liverpool's Uruguayan striker Luis Suarez of racially abusing him when the teams met at Anfield on October 15.
Barcelona's Cesc Fabregas also strenuously denied any racial abuse in Spain this weekend after claims that he insulted Frederic Kanoute during Barca's goalless draw with Seville.
