The Blues fired the Portuguese when they were fifth in the Premier League and losing 3-1 to Napoli after the first leg of their Champions League last 16 tie.
His successor Roberto Di Matteo turned it around, winning the European Cup.
The Tottenham boss said: "I'm aware changing the manager was the only way to make an immediate impact. What we're doing at Spurs is a reaction to mistakes we made at Chelsea.
"The sacking did not change the way I see football but I recognise that I have thought a lot about it."
AVB, 35, has led Spurs to fourth in the table and he hinted that the lower level of pressure has let him thrive.
He added: "Fortunately for me, the quality of the gameplay wins over the results in Tottenham's philosophy."