The Sun says the Swedish legend, 34, has already held talks with United boss Jose Mourinho about his plans after his playing days are over.
A United source said: “Zlatan is already tapping into Jose Mourinho and planning for the future in the game.
“He has told the lads he does not see an end to his playing days for another two or three years.
“Jose has left his door open and Ibra likes the idea of coaching, but not necessarily a manager right away.
“He is enjoying picking up a few ideas and he fancies Italy.
“Ibra will take a badge when things settle down for him early in New Year and then progress it next summer."