Sony shares were down over 2 percent after the backlash.
"I was a tester on PC whos (sic) finished every season and spent hundreds of dollars on the game but nope no Switch play for me since I played once on a PS4," on person on Reddit wrote.
Such limitations don't exist when playing on Microsoft's Xbox One first and then the Swtich.
A Sony spokesperson was not immediately available for comment when contacted by CNBC, but issued a statement to the BBC explaining how it has 80 million monthly active users on its PlayStation Network and is always interested in hearing feedback from the gaming community.
"We also offer Fortnite cross-play support with PC, Mac, iOS, and Android devices, expanding the opportunity for Fortnite fans on PS4 to play with even more gamers on other platforms," the spokesperson said.
"We have nothing further to add beyond this at this point."
A spokesperson for Epic Games, the developer behind "Fortnite" was not immediately available for comment when contacted by CNBC.