The ad and associated comments have since been deleted from Nivea's Facebook page.
"Are the comments meant to be like funny? I genuinely can't tell what's jokes and what's rampant Nazism? Maybe I'm not edgy enough to get the humour," one user wrote, according to metro.co.uk.''
In a statement, the German-based skincare brand said the ad "was not meant to be racially insensitive".
"The recent post regarding Black & White Invisible Deodorant originated from the Nivea Middle East Facebook page," the brand wrote on Facebook.
"The Nivea Middle East advertisement was not meant to be racially insensitive. We sincerely apologise. The post has been removed."
"Diversity, tolerance and equal opportunity are fundamental values of Nivea."
Nivea's Facebook page has 19 million followers globally and automatically diverts to a local page depending on where a user accesses it.