Nike said the logo was a stylized representation of the Air Max trademark and claimed that the allegations deliberately offended Muslims under RT News.
The Nike representative in the United States did not reply to the email.
The petition, which has 25 000 signatures, has been signed by more than 17 000 people.
World's largest sportswear company in September last year criticized its advertising campaign with Colin Kaepernick.
The NFL quarterly factor, which was active, led to contradictions in raising the knee during the national anthem, protesting the brutality of the police and racial injustice.
Initially, the campaign invested in investors, but in the end it was little.
A month ago, a giant of sportswear was trapped in order to benefit from the "gang culture" after displaying balaclava on its website.
The widespread image of the balaclava, created by Nike in collaboration with the designer brand Alyx, showed a black model with a gear that covered his front, mouth, chin and chest, and included straps that some had compared to the carpet.
Bloomberg / Business Day