On Friday, Ibrahimovic completed a transfer from Manchester United to the MLS side after United agreed to cancel his contract before the end of the season.
Beckham enjoyed a five-year spell at the California-based team between 2007 and 2012, and Ibrahimovic has revealed that the former England captain advised him to move to the club.
The 36-year-old is quoted by Sky Sports News as saying: "I met David when I played at PSG and he talked a lot about Galaxy and the experience he had in America. He was all positive and said 'you should go over and try it out'.
"He said everything is fantastic, in progress but to be part of it is amazing and something he was proud of. These words make it easier when you have to choose your next step.
"This was supposed to happen before but it didn't, but it is happening now so it is the destiny."
Beckham scored 20 goals in 118 appearances during his time in Los Angeles.