Norgaard has signed a two-year deal with the option of the third and is the club’s third signing of the summer.
Sky Sports News reported last month that they agreed a £15m deal with Brentford to sign the defensive midfielder. That deal is broken up into a guaranteed £10m plus £5m in add-ons.
He said: “You can get almost emotional because maybe it was a dream that I’ve given a little bit up on coming towards the later stage in my career.
Arsenal are also interested in Real Madrid winger Rodrygo and Crystal Palace midfielder Eberechi Eze in what is turning out to be a pivotal summer for Mikel Arteta.
On Norgaard’s arrival, Arteta said: “We’re delighted to welcome Christian to Arsenal. 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 “.
‘Norgaard has earned this opportunity’
Norgaard is an atypical Arsenal signing in terms of age. At 31, he offers little resale value. He does, though, help mitigate the loss of Jorginho’s experience. He heads to the Emirates Stadium having racked up 122 Premier League appearances for Brentford.