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Lampard's tenure as Blues manager came to an end on Monday morning with the club sitting ninth in the Premier League table.
The former England international allegedly lost the support of senior players in the squad - something Villas Boas was accused of doing back in 2012.
But when asked about that in 2014, Lampard explained to The Sun: "AVB had played his cards and it hadn't worked. I don't know if he was too young or whether it had come too early for him.
"One thing I will address is that a lot of people said when he and Phil Scolari and some of the other managers left it was all down to player power at Chelsea.
"That's a load of c**p. I'm being completely honest because... OK, AVB and I weren't very close but I don't need to be close to my manager... but I am definitely not the type to act up. No one at the club was."
Villas-Boas was sacked nine months after being appointed Chelsea manager and was 34-years-old.
In contrast, Lampard is currently 42-years-old and was relieved of his duties after 18 months in charge.
He'd go on to discuss the idea of 'player power' at Stamford Bridge and ruled out senior figures talking to owner Roman Abramovich.
Lampard continued: "Even Ash [Ashley Cole] who I know wasn't happy not playing week-in week-out, would never have run off and said 'Please sack the manager, we've had enough of him'. That's plain ridiculous. We are professionals.
"Can you imagine what Roman Abramovich would've said to him? 'I pay your wages, I make the decisions, now f*** off and play'.
"It just didn't work with AVB."
The German coach was sacked by Paris Saint-Germain late last year but is still highly regarded.
He won back-to-back Ligue 1 titles and led the Parisians to their first Champions League final in August.
Do you think sacking Frank Lampard was the right move for Chelsea?