Wilfried Zaha admits he wants to play Champions League football.
The manager wants all of his squad to aspire to play Champions League football and feels it is "not an impossible dream" for them to do it with Palace.
"I think if you're in the Premier League and, at the moment, you find yourself sitting in 11th position, I'd like to think all of the players would be able to say they'd like to play in the Champions League," said Hodgson.
"Maybe even with Crystal Palace because we're a good way away from it but it's not an impossible dream.
"And if you're a good player in the Premier League you know there's always going to be a lot of people looking at you, possibly coveting you.
"But the bottom line with Wilf is that he signed a long-term contract at the end of last season, he was well rewarded for that, he made it clear that his heart is with Crystal Palace and so we've got to make certain and hope that is the case and that we will keep him for the years to come."