"What if, now hear me out … we all got a matching tattoo, not only a symbol of unity in our generation, but also as a sign of rebellion," she said in the post, reports Yahoo.
Other users were quick to point out the likeness between a "Z" with a line through it and the Wolfsangel symbol, which is often associated with the Nazi party and other white supremacist groups.
The user later uploaded a second video saying "Yeah maybe don't … let's find a different symbol."
It's unclear how many people actually got the tattoo but a number of images and videos appeared on the video-sharing platform showing the "Z" tattoos, with some users boasting about joining the trend.
Earlier this week, the term "Gen Z" was also trending on social media platform Twitter, suggesting the idea was gaining traction.
There have been at least 40,000 tweets about Gen Z and countless messages from those offended by the misunderstood tattoos.
The trend has outraged most social media users, with many questioning how thousands could possibly be considering a semipermanent tattoo based only off a TikTok video.
"If you got the "Gen Z tattoo" you are a special kind of stupid," commented one social media user.
The young woman who sparked the idea has since apologised, amid the symbol's links to white supremacists, Nazis and/or hate groups.
"I have been writing my Zs like that since elementary school," she said in the post circulating online.
"So when I put that on there, I did not think anything of it … My entire point of this was to bring my generation together. It was about love and unity, OK?"