Tottenham have been heavily linked with a deal for the midfielder with Goal understanding Mauricio Pochettino is willing to bide his time for a reunion with Schneiderlin and team-mate Jay Rodriguez.
|33/1||Southampton are 33/1 with Paddy Power to win their first three games|
"[Schneiderlin] is not leaving for any money," Krueger told The Guardian. "I don't take anything personally. We are dealing with human beings. People are communicating with different styles now.
"You will have these kind of situations all through the season. You will never have 25 players going, 'Yeah I love everybody here'.
"But when I sign a contract, the understanding I have is that I have to be prepared to fulfil that contract and anything else that develops needs to be a win-win situation.
"It was a win-win on those other situations for both sides."
Adam Lallana, Rickie Lambert and Dejan Lovren has joined Liverpool since the end of last season, while Luke Shaw and Calum Chambers left for Manchester United and Arsenal respectively.
Krueger admits the summer exodus has been testing for the club, but is confident new manager Ronald Koeman will be able to bolster the squad before the end of the transfer window.
"In all this most difficult of summers – which I believe never happened before and should never happen again – there is truly a lot of growth going on," said Krueger.
"We have been in control of this whole process. A crisis would mean we are not in control. You cannot begin a season with half of your starters disgruntled, that was clear to us so we needed to be willing.
"If a premium was hit, to let players go. We got our premium but we came to a clear conclusion that Morgan and Jay were not going to be sold.
"The goal is to be stronger at the end of the window than we were last season. Will that happen? I believe we have a really good chance of it."