The fullback has been linked with Manchester United and Tottenham.
"I don't believe that an offer has been made and I think this is still speculation," Hodgson said.
“I can't say that I am surprised [about reported interest], I think he is playing so well and he has an incredible future in front of him.
“But he has a four-year contract with us and when we asked him to sign that, we were asking him to be a Crystal Palace player during that time.
“And I've not seen anything in his performances, or heard anything that causes me to change my mind or have any doubts that he is going to be our player.
“But if that speculation comes to pass and an offer comes to the table, then it will be up to the club to make a decision I suppose.
“But at the moment, I don't have any concerns in that respect."