The 22-year-old has been linked with a loan move to Dutch side FC Twente.
“Zoran is well in Manchester and he is staying at Manchester United,” Tosic’s agent, Zoran Pavlovic, told Sky Sports.
“I have had no contact with FC Twente and Zoran is very happy at Manchester.
“He has three years left on his contract and he wants to fight for his place.
“His first option is to stay in Manchester.”
