The 30-year-old spoke of his pride after being recognised in Sweden with an award, but later reacted to criticism for reportedly hiding his joy during goal celebrations
The Sweden captain is in the city with members of the national team ahead of the World Cup qualifier against Kazakhstan at Swedbank Stadion.
The 30-year-old was honoured by local authorities with a place on the 'Walk of Fame' outside the stadium, a memorial for those from the city who have achieved in sport.
"It is a great honour, it means that I have done something during my career," Ibrahimovic was quoted as saying by France Football.
"We usually say that you cannot become a legend before death. But I am a living legend - at least in Malmo."
Ibrahimovic was also questioned by a local journalist who accused him of supposedly suppressing his joy during goal celebrations, drawing comparisons to Cristiano Ronaldo, who had acted similarly against Granada last week.
"I see you, now you are trying to compare me to someone else. You cannot compare myself to him," he said.
"When I score a goal after 27 seconds [against Lille last weekend], there are still 89 minutes to play. I prefer to show my joy after the game, because anything can happen during a match."
Sweden face Kazakhstan in Group C of World Cup 2014 qualifying on Tuesday. Kick-off is at 20:30CET.