Defender Virgil van Dijk has handed in a transfer request amid rumours that he is a target for Arsenal, Liverpool and Chelsea.
The Dutchman says he wants Southampton to take in consideration any offers from "top clubs".
The 26-year-old was asked to train alone by manager Mauricio Pellegrino as a clear sign that he will leave before the end of the summer transfer window.
"I would like Southampton to consider the interest in me from top clubs should it still exist," van Dijk said.
"I have been left frustrated by the club's position that I am not for sale and am disappointed that enquiries from multiple top clubs have been consistently rebuffed.
"I am incredibly ambitious and want to achieve as much as I possibly can to fulfil my potential in what is a very short career as a professional footballer.
"I can confirm that I was asked about my frame of mind and for all of the reasons mentioned above I was open and honest in saying that I did not feel I was in a settled mindset given the circumstances.
"As a proud professional I am insulted by the suggestion that it was me who refused to train and so feel it is important to point out the true version of events."