The striker will be available on a free in the summer after refusing to extend his contract with the French champions.
Chelsea and clubs in China are reportedly very keen on the 34-year-old, who has found the net 35 times this season.
However, according to L’Equipe, Manchester United have now made contact with Ibrahimovic’s agent.
The Premier League giants are in the market for a striker this summer and believe the Swede fits the bill.
AC Milan are also interested in Ibrahimovic but there are doubts as to whether the Serie A side can meet his wage demands.