Ibrahimovic's move to Major League Soccer was confirmed just over a week ago, having left Manchester United on a free transfer.
The former Sweden international had struggled for regular football at United this season due to fitness problems following a serious knee injury, but is fit enough to feature on Galaxy's bench.
The 36-year-old enjoyed his first training session with the club on Friday and was then presented to the media in a well-attended news conference.
Despite his injury and fitness issues, Ibrahimovic said in his presentation that he feels like "Benjamin Button - I was born old and now I feel young".
He added: "When I came to England they said I was old but I came in a wheelchair and after three months I was flying. Age is just a number."
However, he will have to be content with a place in reserve as he gets his stint in the United States under way, with Ola Kamara preferred in attack to the former Inter, AC Milan, Barcelona and Paris Saint-Germain superstar.
LA Galaxy starting XI: Bingham, Feltscher, Steres, Skjelvik, Cole; Kitchen, Carrasco, Pontius, Lletget, Boateng; Kamara.
Bench: Vom Steeg, Romney, Husidic, Ibrahimovic, Lassiter, Hilliard-Arce, Klimenta