Rotherham manager Steve Evans this week claimed his club had a £300,000 bid rejected and were told that Saints valued the 21-year-old striker at £800,000.
Wright said: "We haven't quoted any figures and we won't be quoting any figures. We know our valuation of the player and if and when that's met, and it suits Stevie as well, that's when something will happen.
"But I'm not going to be putting figures on Stevie's head in the public domain. I don't think it's fair on the player."
St Johnstone played down reports of Rotherham's interest after it was leaked in South Yorkshire before Evans gave his public take on negotiations.
The club became involved in a public dispute with Peterborough following their bid for the Scotland Under-21 international in August and Wright is keen to move on from the latest speculation surrounding the player.
"That's two dealings we have had with English clubs and they seem to have ruffled a few feathers," he said.
Meanwhile, Wright will not include new signing Lee Croft in his squad for the William Hill Scottish Cup fourth-round clash with Livingston on Saturday.
The winger re-signed for Saints on Tuesday after being without a club since leaving Oldham at the end of last season.
Wright said: "He needs a couple of games and unfortunately the under-20 game was cancelled on Tuesday.
"We have got to make sure we don't overwork him or put him in too early because it has been a long time since he has played any football. Other than the long-term injuries, we have a fully fit squad so there is no big rush to bring him back.
"He's a player that can make things happen in the final third, has a good delivery and a good eye for goal as well. I'm looking forward to getting him fit."