Referencing the company's recent legal troubles with Electronic Arts over alleged Sims clone The Ville, Polytron joked that Zynga would release a copycat game called Fex instead.
"ZYNGA approached us to port FEZ to mobile. we politely refused. so, look forward to Zynga's FEX any day now, i guess!" reads a Polytron tweet.
When pressed on the matter by Twitter followers, Polytron replied: "It actually happened."
Fez has users exploring 3D environments, where the player can shift between 2D perspectives to reach far-reaching platforms.
The game has experienced a number of bugs since its launch, including one glitch which resulted in the corruption of save files.
Polytron has decided that it wouldn't be economically viable to fix the bug, a move backed by Microsoft.
The title, which adopts a pixel art style and chip-tune music, won the 'Excellence In Visual Art' award at the Independent Games Festival in 2008, as well as the 'Seumas McNally Grand Prize' at this year's ceremony in San Francisco.
It also won the Grand Jury Prize and first prize in the 'World And Story Design' category at Indiecade 2011.
Costing 800 Microsoft Points (£6.80 / $10), Fez released on Xbox Live Arcade in April.
Watch a trailer for Fez below: