The former Porto boss was sacked by the Blues last March with his side fifth in the Premier League and on the brink of Champions League elimination.
However, the 35-year-old says he has learnt from his mistakes at Stamford Bridge and believes the nine months he spent at the club has helped him at Spurs.
"I think they [Chelsea] could have given me the opportunity to continue," Villas-Boas told France Football magazine.
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"But I am fully aware that changing [the manager] was the only way to make an immediate impact on the results.
"What we have been doing at Tottenham with my staff is a reaction to the mistakes we made at Chelsea.
"We did not do everything wrong there, but we could have done better. It [being sacked] did not change the way I see football, but I recognise that I have thought a lot about it."Meanwhile current Blues manager Rafa Benitez admits he is struggling to build a relationship with the Chelsea fans, but hopes it is just a matter of time before he wins them over.
"The difference is I was at Liverpool for six years,” he told reporters. "At the beginning, I couldn’t understand their accents sometimes. But little by little, you have more time.
"Now you play one game every three days. So it’s a question of time, but because my contract is until the end of the season, my job is trying to do well. A lot of people appreciate what we are trying to do."