Nike said the logo is a stylized representation of Air Max's trademark and rejects claims that it deliberately offends Muslims, RT News says.
Nike's representative in the US did not respond to an email.
A petition aiming at 25,000 signatures was signed by more than 17,000 people.
The world's largest sports clothing company criticized its advertising campaign with Colin Kaepernick in September last year.
The NFL's criminologist, who became an activist, raised doubts about choosing his knee during the national anthem to protest police brutality and racial injustice.
The campaign initially shattered investors, but eventually had little impact.
A month earlier, the huge sports industry confiscated using the "gang culture" after showing a ball on its website.
The widespread image of a ball made by Nike in collaboration with the Alyx designer showed a black model with a tool that covered his forearms, mouth, chin and chest and included straps that were compared to the gun cases.
Bloomberg / BusinessDay