It emerged shortly after the end of the season that Arsenal were keen on signing Norgaard to add depth to their midfield, and they've now officially added him to their ranks.
While the length of the contract has yet to be confirmed by the club, it reportedly expires in the summer of 2028.
“We’re delighted to welcome Christian to Arsenal," said manager Mikel Arteta.
"He is an international player with a wealth of experience of the Premier League. He has proven leadership skills and a strong character which will be invaluable to our squad.
"He is a strong midfielder with excellent tactical awareness and versatility. He also has physical presence and intelligence which will give us added depth and balance.
"Christian will bring a lot to the group both on and off the pitch, and we’re excited to start working with him in this next chapter of his career. We welcome Christian and his family to Arsenal.”
Norgaard began his professional career with Lyngby in Denmark before being signed by Hamburg in 2012.
After spells at Bronby and Fiorentina, he then joined Brentford in 2019 and became the club's captain in 2023, under the tutelage of new Tottenham manager Thomas Frank.
He has also picked up 35 caps for Denmark, playing at EURO 2020, the 2022 World Cup and EURO 2024.