Mr Azaria - who provides the voice of other characters, including black police officer Lou and the Mexican-American Bumblebee Man - said he found it "very upsetting to me personally and professionally" that anyone felt marginalised because of Apu.
Casting shake up coming to The Simpsons as the producers announce non-white characters will no longer play characters of colour.
Hank Azaria - who voices Apu - said earlier this year that he was stepping down from the role.
U.S. animated comedy series The Simpsons will no longer use white actors for the voices of characters from other ethnic backgrounds, the show's producers say.
She wrote: "At the start of the show, I reasoned with myself that it was permissible for me to play "Missy" because her mom is Jewish and white - as am I. But "Missy" is also black, and black characters on an animated show should be played by black people".
The Simpsons will stop using white actors to voice black and minority ethnic characters, producers have said, amid calls for greater diversity in entertainment.
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In January this year, Hank Azaria announced he would no longer be voicing Apu Nahasapeemapetilon, following years of criticism from viewers.
A recurring character from the series, launched in 1989 will no longer be played by white actors..
In a statement, the Fox network said: "Moving forward, The Simpsons will no longer have white actors voice non-white characters".
It looks like The Simpsons has finally chose to do the right thing.
Friday's statement did not say whether Apu or the other characters would remain on the series.
The Simpsons producers announced that characters of colour like Apu will no longer be voiced by white people.