With the European transfer window still open until September 2, there is a possibility Zaha could yet leave.
"Well there is not too much point worrying about it, if you are asking me 'would I welcome it?' the answer is no," said Hodgson.
"I would rather that he now gets his head down and commits himself to the season that we have got in front of us and commits himself to helping me, the coaching staff and the players into having another season that we can regard as a good one. That is what I would like.
"But of course I don't suppose you can ever rule out the possibility that it might happen because the transfer window in Europe is still open until the end of the month - but it is not something which I am going to worry about because it is something that I really cannot affect."