With the likes of Aiden McGeady, Scott Brown and Artur Boruc admired by other clubs, Reid insists Celtic are in a position of strength when it comes to player trading.
Rangers decided the money for Hutton was too good to turn down, but Reid told BBC Radio Scotland: "We're not in the position Rangers are.
"You can't force players to stay, but we have over the past few years run a very good financial policy.
"It is my responsibility to make sure we stay within that comfort zone which gives financial stability to this club.
"We have got it. We have no desire to sell any of our players.
"I can't say they will never want away. Players sometimes do want away. I think sometimes they make a mistake when they go away from Celtic.
"I think sometimes they regret it and they miss the back-up and the family and the support that they get here.
"We can't force people to stay but we don't want anyone to go."