The female student told a national newspaper that the 18-year-old, who is said to earn £30,000 per week at Old Trafford, took her to the budget chicken restaurant after she paid for parking.
Puncheon wrote on Instagram: "januzaj keeping it real...got time for this guy...what makes these people think he has to spend big cos he's got it!!"
Andros Townsend posted a message on Twitter saying: "Nandos was too classy for her! I would of bought her a freddo and sent her packing!!"
Johnson also had his say by tweeting: "Sums up what type of girl she is, to go to papers an sell a story!! She deserves a Dixy 99p chicken an chips for that!! #golddigger."
Nando's decided to tease Januzaj after the story was published by offering the player a £50 voucher.