His previous club, Manchester United, confirmed Ibrahimovic's exit Thursday on its website.
"I met David when I played in PSG and he talked a lot about Galaxy, the experience he had in America, he was all positive", Ibrahimovic said in an interview with the MLS.
His arrival in Los Angeles was announced with stereotypical swagger as a full-page advert in the LA Times read simply: "Dear Los Angeles, You're welcome". The ponytailed 36-year-old could capture the attention of the world's entertainment capital in a way that even David Beckham couldn't manage. The midfielder scored two goals in 13 appearances in his first season as Galaxy were knocked out of the MLS Cup play-offs by Seattle Sounders.
The former Sweden forward, though, is in no doubt of what impact he will be able to make on MLS.
LA has an intriguing collection of talent to provide service for Ibrahimovic, including French winger Romain Alessandrini, who became one of MLS' best overall players last season in his Galaxy debut. I'm just excited and looking forward to the games.' He added.
'I have a lot to give, I can help them a lot, and they are the best team in the US. I need to play and I want to play.
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Upon departing PSG in 2016, he famously quipped, "I came like a king, left like a legend". Yet he returned swiftly after injuring a ligament in his right knee last April, and he said he has been "training very hard" for months.
"I know what I am able to do, I am not anxious about that, the only thing is my knee has to follow what I want to do - and he will follow", he added.
However, because the Galaxy have already signed their designated players for the 2018 season, Ibrahimovic's salary will be limited to around $1.5 million according to the Sports Illustrated report.
The Swede has always been a target the LA Galaxy and follows the likes of former England captains David Beckham and Steven Gerrard to the StubHub Center, where he will play alongside ex-Chelsea and Arsenal full-back Ashley Cole.
He wrote, "Great things also come to an end and it is time to move on after two fantastic seasons with Manchester United".
Zlatan Ibrahimovic has really always belonged in Hollywood.
Past year the club finished bottom of the Western Conference with only eight wins from 34 games.