Pecker is a key witness in the case against the former US president, who is accused of falsifying business records to cover up hush-money payment
Hamilton, who starts his bid for a record equalling seventh title in the season-opening Austrian Grand Prix on Sunday, has been vocal in support of the Black Lives Matter movement and racial equality.
The 35-year-old Mercedes driver, who will be in black overalls and driving a black car with the message 'End Racism' on it this season, last month criticised those who failed to speak out.
"I see those of you who are staying silent, some of you the biggest of stars yet you stay silent in the midst of injustice," said the Briton, referring to the killing of George Floyd, an unarmed black man who died after a white U.S. police officer knelt on his neck.
Hamilton, the sport's only Black driver, explained in a video released by Mercedes' parent company Daimler as part of a 'We Care, We do, We Move' series on Thursday that he was addressing the world of motorsport as a whole.
"People perceived it as (if) I was targeting drivers," he said.
"I really wasn't. It was targeted at the whole industry. And it's been something I've been aware of for a long, long time, and not really seen anyone doing anything about it.
"People being silent is something that I've experienced for such a long time, and now is not the time to be silent. This is a time to help spread the message, the time to pull together. We need as many voices as we can to push for change.
"That was really a calling to people within the industry for accountability, for all the brands. They need to do more. The sport needs to do more. The (governing) FIA need to do more. We all need to do more. So that was really what the message was about."
Formula One drivers, who responded to Hamilton's initial comments with their own messages against racism, are expected to show further support this weekend.
McLaren's Lando Norris has suggested they could 'take a knee' as a gesture before the race at the Red Bull Ring.
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