Now recuperating from a serious knee injury, there has also been talk that Manchester United could offer him a new deal if he can recover in time for January.
His agent Mino Raiola has previously said the former Sweden forward will stay in Europe while in March LA Galaxy told Ibrahimovic they were willing to make him the highest-paid player in MLS history.
LA Galaxy are struggling to sell out their 27,000-capacity stadium for this weekend's pre-season friendly against Manchester United.
A reported £6m-a-year contract was offered to the 35-year old, with Richard Keys reporting that the deal was as good as complete, but Onalfo has moved to squash these rumours - saying: "Our policy is not to comment on players that are not part of our team". Asked if they had room for a marquee player, he said: "Absolutely. We always have. The DNA of the Galaxy is to attract world-class players, so we're always looking for one".
BBC Sport has been told Ibrahimovic, as a result of his star quality, and another former Manchester United player, Javier Hernandez - owing to the huge Mexican population in Los Angeles - are considered ideal candidates to be a symbolic signing for Los Angeles FC. Giovani dos Santos and Ashley Cole are now the best-known names in a Galaxy side stuttering in the MLS standings.
And according to the BBC, LAFC are considering making a move for Ibrahimovic and are interested in having him in their squad for their debut season in the MLS next year. Ibrahimovic, who turns 36 in October, was United's top scorer last season with 28 goals.