Yaya Toure's agent has performed a U-turn and insists his client will remain at Manchester City this summer.
Michael Dawson is ready and willing to lead Hull next season in the Sky Bet Championship.
Navarro joined the Seagulls from MK Dons in 2009 and has made 85 appearances, helping the club to promotion to the Championship last season.
Boss Gus Poyet told the club's website: "Alan has had an exceptional season and proved himself at this level but we are very well covered in that position.
"With that in mind it was difficult to offer him another contract, but I am sure he will have no shortage of offers."
Poke has made one senior appearance for Albion and spent the second half of the season on loan with Bristol Rovers.
Gonzalez has played twice for the first team after joining on a short-term deal from Manchester City in January.