Trump's team was "in no way" authorized to use the song, Petty's estate said in a statement released on the singer's Twitter page. Petty, who died in 2017 at age 66, wrote the song for the common man and would not have approved of its use in Trump's campaign, the estate said.
"We want to make it clear that everyone is free to vote as they like, think as they like, but the Petty family doesn't stand for this," the statement said. "We believe in America and we believe in democracy. But Donald Trump is not representing the noble ideals of either."
The singer's family said they sent a cease and desist letter to the Trump campaign to prevent any further use of Petty's music.
"We would hate for fans that are marginalized by this administration to think we were complicit in this usage," the family statement said.
The Trump campaign did not immediately respond to a request for comment.
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Last year, Prince's estate shared a 2018 letter from Trump's team acknowledging that the late artist's music would not be played at the president's rallies. The release came after "Purple Rain" was heard at a Trump campaign event in Minneapolis, even though the letter stated that the campaign would not play Prince's music.