The former Tottenham Hotspur player, who has made over 100 appearances in two spells at Hull, played his last game for the Tigers in Hull's 1-1 draw against Nottingham Forest.
After the game on Saturday, head coach Shota Arveladze confirmed that Huddlestone would leave the club.
He said: “They (the fans) gave him a big applause. It’s not (an) easy (decision) to decide – he’s such a huge a player – as he’s been a great professional.”
The future of star forward Keane Lewis-Potter is, however, still in limbo.
Arveladze added: “That’s the most difficult question to ask. The chairman wants him. The coach – crazy about him.
“But then some offers you cannot just say, ‘No’, or “Yes’. It’s about his future.
“We’ll try to offer him the best we can for his future. It’s about financial and it’s also about his progress.”
Lewis-Potter is under contract until the end of 2023 but Huddlestone is one of nine Hull players whose contract is up at the end of June.
Here, we look at the situation of every player who is out of contract at City and which loan players will return to their parent clubs now the season has concluded.
He said: “They (the fans) gave him a big applause. It’s not (an) easy (decision) to decide – he’s such a huge a player – as he’s been a great professional.”
5. Richie Smallwood - June 2022
The Tigers captain made 42 appearances, scoring two goals and providing two assists, this campaign. Photo: Getty Images
6. Tom Eaves - June 2022
The centre forward scored five goals and claimed three assists during the 2021-22 season. The club has an option to extend his deal by 12 months. Photo: Getty Images
7. Tom Huddlestone - June 2022
The midfielder is poised to leave the club this summer. Photo: Getty Images
8. Josh Emmanuel - June 2022
The right-back has not featured since mid-November due to medical issues. He does have the option of a further year. Photo: Getty Images