The statue has since been repaired and the Swedish Football Association (SvFF) has asked the police to take action.
"Zlatan Ibrahimovic is Sweden's greatest football player of all time. His importance on and off the field was enormous."
The statement added: "It is understandable that the decisions Zlatan Ibrahimovic made evokes emotions, but it is completely unacceptable for some people to give in to their disappointment with vandalization and injury.
"There are no excuses for this disrespectful harm. It has to stop. We hope that all the good people tick against these criminal acts and the police find the blame."
In November, fans of Malmo were upset when Ibrahimovic bought a 25 percent stake in top Swedish competitor Hammarby, which prompted them to saw the statue off, set it on fire and spray racist graffiti on it.
Earlier cases of vandalism included fans hanging a toilet seat on the arm of the statue and covering their faces with a Swedish soccer jersey.
The statue, which was only unveiled in October, was intended to honor Ibrahimovic's exploits both with the national team and at club level.
The 38-year-old recently moved to the former AC Milan club after leaving the MLS team LA Galaxy.