The Bavarian club said on its official website: "Brian Saragosa will join Bayern from Granada from the 2024-2025 season. The Spain international will sign a 5-year contract until June 2029."
Club sporting director Christoph Freund said: "Bryan is a very fast and agile winger, he can play on both sides. He is unstoppable, he can score and he has excellent individual skills."
"He's one of Spain's most promising players, and he's been on our minds for a while. It will enhance our options in attack. We wish him good luck for the rest of the season with Granada and look forward to him joining us in the summer."
The 22-year-old has made 14 appearances for Granada in La Liga this season, scoring five goals and assisting two.
Saragosa produced a remarkable performance during the 2-2 draw with Barcelona last October, scoring both goals for his team in the match.
The Granada winger made one appearance for Spain during the 2-12 win over Scotland on October 2024 in Euro <> qualifying.