The striker wrote in his autobiography that he became “a hero” to Inter teammates after he confronted ultras in 2015 after a 3-1 defeat at the hands of Sassuolo.
However the fans have hit back and insisted it was all “squalid lies” to make Icardi look strong in his book.
With the row ongoing, Icardi has written an open letter to fans asking them to stay onside as he looks to continue his captaincy.
He wrote on social media: “The captain’s armband represents the realisation of my childhood dreams, the joy that I gave first of all to my family and then to myself.
“You are the ones who I look out for every Sunday after scoring a goal, it is your embrace I seek first, because I love Inter.
“Imminently I will step on to the field, so I can’t go on any more. I hope you understood how important you are for me and how much respect and love I have for you, even if you decide to jeer me.
“I ask you just one thing as captain: stay close to Inter, as you always have done, because my teammates and I need you. With affection, Mauro.”