The Italian side returns to the Champions League after a seven-year absence.
The Swedish star, who turns 40 in three weeks time, rolled home the simplest of finishes from Ante Rebic's low cross in the 67th minute.
The 39-year-old pulled up in Milan's 3-0 league win over Juventus on May 9.
There's no chance of it being “The Zlatan Show” now. For Sweden coach Janne Andersson, that might mean simply going back to the approach that hardly served the team badly without Ibrahimovic.
Ibrahimovic limped out of AC Milan’s 3-0 win at Juventus last weekend and the Sweden forward had further tests on his injured left knee on Saturday.
The 39-year-old recently signed a contract extension until June 2022 and has netted 17 times in all competitions this term.
Zlatan Ibrahimovic set up two goals but was also sent off as AC Milan won 3-1 at relegation-threatened Parma on Saturday to keep its small Serie A title hopes alive.
Ibrahimovic's current contract runs out at the end of the season, but he has reportedly agreed a new deal in principle, which should be completed in the next seven to ten days.
Ibrahimovic, 39, played his last Sweden game at Euro 2016 before wearing his country's yellow shirt again for the 117th time in their Group B opener.
However, the 36-year-old striker's efforts have not been enough to transform the Galaxy's fortunes, with the club languishing in the bottom half of the Western Conference.
Sweden's success has been a collective effort, with their organisation, determination and spirit so far coming up trumps in Russia.
Andersson’s arrival has helped bring the side back to their roots and they now stand ready for a World Cup last 16 tie against Switzerland on Tuesday.
Ibrahimovic retired as Sweden's all-time top scorer, with 62 goals in 116 games. He still knows his way to the net at the club level.
Granqvist replaced Ibrahimovic as captain, and won the Swedish footballer of the year award in 2017, the first time anyone other than his predecessor won the award since 2006.
Ibrahimovic said that Russia will be an amazing host country for the upcoming 2018 FIFA World Cup, starting June 14.