The 17-year-old, who turns 18 on 15 August, has signed a five-year contract that will keep him at the Ligue 1 club until 2031.
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Strasbourg paid €1 million upfront, with a further €800,000 in potential bonuses, to complete the transfer.
Brantlind signed his first professional contract with Goteborg in June 2024 and established himself in the first-team squad last September.
The Sweden Under-19 international, who has scored five goals in four appearances for his country, has made 12 senior appearances this season and netted against Orgryte in May.
He becomes Strasbourg’s third summer signing, with Mateo Del Blanco also expected to arrive soon.