And Hodgson confirmed that he is still in the hunt for Portsmouth's £12million-rated striker Peter Crouch.
Zamora scored twice in a 3-3 draw at Peterborough in what many thought would be his last game before joining Hull for £5m.
Hodgson said: "We allowed Bobby to talk to Hull but he wants to stay with us and I'm delighted.
"He didn't score many goals last season but he will this time because he is a very good technician. This will not end our pursuit of Crouch. We have spoken to Portsmouth and to the player's agent about wages and I am hopeful something will happen."
Fulham are also mulling over a £2.5m bid for Hull midfielder Dean Marney.
Hodgson is keen to add more energy to his midfield after Jimmy Bullard moved in the opposite direction in January.
Marney, 25, fits the bill but Fulham are set to go head-to-head with Premier League newcomers Wolves for his services.
This article has 2 comments
Why not bid 12 million for Crouch like everyone else?
By daz. Posted July 26 2009 at 4:13 PM.
OMG another target missed.
How about bidding £6m for Diomansy Kamara?
By Feel Brown. Posted July 25 2009 at 11:25 PM.