The Daily Star claimed on Tuesday the 26-year-old wanted "showdown talks" with the Dutchman, but in a message posted on Twitter, Herrera moved to allay fears he is unhappy at Old Trafford.
Alongside a picture containing part of an interview he did with the club's matchday programme for last week's game against PSV Eindhoven, Herrera said: "Interview given last week. Very happy at Manchester United."
The image contains the pull quote: "I don't want this dream to finish. I have to play as well as possible if I want to play as long as I can at this club."