The attacking midfielder has enjoyed a promising first season in the Premier League following his arrival from QPR in August 2020 in a deal worth £20m.
On potential suitors trying to prise Eze away from Selhurst Park come the end of the season, Hodgson said: "It has not really occurred to me as we've only just signed him. It was quite an investment for our club to pay 15 (million pounds) and then five (million pounds) in add-ons – that's quite a big investment for us.
"I wasn't contemplating that it was an investment that would only last one season and then he would move somewhere else, so I hope that is not the case.
"I am pretty sure the club will work very, very hard to make sure any interest in him will be warded off because we bought him into the football club to play for us and to make us better.
"We didn't bring him into the club to make some small profit on a transfer at the end of the first season.
"It is his first season since coming from the Championship and you expect people to need a bit of time to get fully adjusted to play at this level, and we are delighted with him."