Trump has played the hit 1989 song at his rally in Tulsa on Saturday night (June 20), but the Small estate has claimed that he was not allowed to use it.
In a statementthe family said Trump campaign “leaves too many Americans, and the good sense behind”.
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“Both the end of Tom Petty and his family a firm position against racism and discrimination of any kind,” they continued. “Tom Petty would never want a song of his being used for a campaign of hate. He loved to bring people together.”
At the gathering, Trump called coronavirus “Kung Flu” in a xenophobic reference to its origins in China.
The family has issued a cease and desist letter on the use of the song.
A small death in 2017, at the age of 66 years, after an accidental overdose of prescription drugs.
Many musicians are opposed to the Trumpet with the help of their songs, from Neil Young to Aerosmith.
Rose recently mocked Trump after his Tulsa rally failed to draw in close to a million people, the president had pledged to participate.
The event was held at the 19,000-capacity BOK Center in Tulsa, Oklahoma, where there were thousands of empty seats.
It took place against the advice of Trump’s own coronavirus task force, which urged White House officials to cancel it amid fears that it could spread of the coronavirus.