The 52-year-old admitted the exchange with Abramovich was short and that the Russian was 'very cold' towards him when axing him.
"When Abramovich fired me, he was very cold. He said to me good luck and stopped," said Ancelotti.
"He knew that I wasn't in agreement with that decision and he preferred to avoid talking about it in detail."
Ancelotti also admits he has sympathy for current Blues boss Andre Villas-Boas who has also found his position under scrutiny after an indifferent start to life at Stamford Bridge.
"Is he [Abramovich] sorry for calling Villas Boas? I don't judge the work of a colleague, I'm just saying that coaching this Chelsea, in the midst of a big generational change, is complicated," concluded Ancelotti.