According to authorities, the events took place after the statement that Ibrahimovic had acquired a bet at Stockholm-based Hammarby on Wednesday.
Having a racist messaged sprayed onto the floor, a part of the player was vandalized At Malmo.
Malmo authorities told that it had opened up a situation to investigate the vandalism of the statue beyond the soccer stadium.
The force also affirmed it had opened up a case over unlawful threats made from Ibrahimovic.
No suspects have been detained or charged, police said.
Ibrahimovic, who is the leading goalscorer with 62 goals in games of Sweden, has played some of the biggest clubs of Europe including Paris Saint-Germain, Juventus, Inter Milan, Barcelona, Ajax along with Manchester United.
He has spent the past two seasons playing at the usa.
Hammarby is a wonderful club with enthusiastic supporters and is well respected in Stockholm and Sweden, Ibrahimovic told Hammarbys website.
Ive always enjoyed the club and its fans, and I am also impressed with the clubs achievements over the past decades, both on and off the pitch. To be part of and to assist Hammarby in its own advancement feels equally exciting and fun.
The 38-year-old, whos a free agent earlier this month, after leaving LA Galaxy , also released a post on Instagram with his surname on the rear of a Hammarby shirt, though he has made clear he has no intention of playing for the club.
Ive said for 10 years Im not going to play football in the Allsvenskan. It is not likely to occur, he told Aftonbladet.
Has contacted the agents of Ibrahimovic for comment.
Read more: footy betting odds