The 52-year-old Italian tactician was appointed head coach of the Ligue 1 giants last month, after six months out of the game, following his Blues sacking at the end of 2010-11.
Ancelotti vacated the Stamford Bridge hot-seat for Andre Villas-Boas, who was hired by Chelsea owner Roman Abramovich following a quadruple-winning season with Porto.
"When Abramovich fired me, he was very cold," Ancelotti told Gazzetta dello Sport. "He said to me good luck and stopped.
"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 his Portuguese successor, who has also found his position under scrutiny after an indifferent start to life in west London.
"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."
During his time away from the game, Ancelotti had time to reflect and think about his next move.
At one stage he was prepared to wait until the summer before making his return to management, and was hoping to land either the Arsenal or Tottenham jobs, should Arsene Wenger or Harry Redknapp leave their respective clubs.
"Before PSG's call I thought of a year-long sabbatical, hoping that in the summer a job like Tottenham or Arsenal - a top London bench - would become available, but I was tired of not working," he concluded.