Ibrahimovic, 38, is out of contract in December and appears to have plenty of options in Europe and beyond.
A-League club Perth Glory have also confirmed their interest.
But, according to Galaxy general manager Dennis te Kloese, a third season in the United States is not yet out of the question.
"My deal with him, and I have known him for a long time, is to sit down with him after things have calmed down post-season and evaluate what is good for him, his family, his fitness and for us as well," Te Kloese told ESPN Deportes.
Ibrahimovic has shone since moving to MLS from Old Trafford, scoring 53 goals across two seasons, but his regular criticism of the playing standard has made waves.
"You all already know Zlatan," Te Kloese added.
"He is a topic all by himself, he is a unique character with so many facets, and I think he helped us this year, basically and obviously with the number of goals he scored, which was so impressive.
"And all of that we will be talking about, for sure, next week when he returns.
"He is a very mature athlete in that sense and so we will first and foremost be speaking like adults, and after that we will determine what is the best for all parties involved."