The Sun says his family have reportedly been checking out property in Los Angeles after he was closely linked with joining LA Galaxy.
The Manchester United striker is considering his future already as his one-year contract ends this summer and his injury problems have continued.
Ibrahimovic, 36, has not played since Boxing Day after defying medics with his return ahead of schedule from a long-term knee ligament injury.
Galaxy's season begins in a fortnight and it is thought Ibrahimovic could become the highest-paid MLS player ever if he makes the move. His family have been looking at homes in Beverly Hills.