Kamada has decided not to renew his contract and will seek a new challenge.
The 26-year-old Japan international has attracted interest from some Premier League clubs, with the likes of Chelsea and Manchester United rumored to be strongly interested.
Kamada joined Frankfurt from Sagan Tosu in 2017 and has made 170 appearances in his time at the club, scoring 37 goals and providing 31 assists.
Kamada played a key role in Frankfurt beating Rangers to win the Europa League last season.
"Eintracht Frankfurt and Daichi Kamada are going their separate ways after the 2022/23 season," read a statement on the German club's official website.
The club's sporting director, Markus Krosche, said: "Daichi Kamada has developed into a very good Bundesliga player at Eintracht Frankfurt in recent years and has played his part in the sporting development of the club, with the highlight of the Europa League victory last year.
"We would have liked to see Daichi at Eintracht in the future, but the player's interests did not go hand in hand. We thank him for his commitment to Eintracht and wish him all the best for the future."