Fellow Twitter users were quick to make jokes at the company's expense.
"If it were a no emission vehicle would it be a 0 F.*.*.*.S. Forester?" Jon Csuka tweeted, while Herostratus cracked: "If it doesn't sell well, they can say "No F.*.*.*.S. given."
"Also that name cannot have been an accident," another person stated, while another wondered: "Are all marketing folks 17-year-old males?"
It is not known whether the rude acronym was an intentional move by the company or an unfortunate mistake.
Top Gear Philippines reporter Leandre Grecia, who is covering the motor show, also made a joke about the eye-catching name, writing "it's kind of fitting, too, because you'd probably give zero f**ks if your car looked like this".
But she followed it up with a review of the vehicle, praising its "striking blue body paint", "20-inch Enkei wheels wrapped in low-profile rubber" and claiming the "grey metal is nicely complemented by the blacked-out headlamps and tail-lamps".
And it was described as "a delightful nod to immaturity" by Byron Hurd, from Autoblog, who wrote: "The execution leads us to believe that either its builders had no clue, or they simply gave no... well... you know."
A Subaru Australia spokesman told news.com.au the model was believed to be a local distributor initiative and was not generated by the Subaru factory.
There are no plans for it to enter the Australian market.