The defender's representative has rejected rumors linking his talented client with a move to the Rossoneri from Gelsenkirchen, and labelled him as 'one of the best in the world'
The Greece international had been linked with a move to Massimilano Allegri's side following the departure of key centre-back Thiago Silva to PSG this summer.
The 20-year-old's representative, however, has explained his client is happy with life in the Bundesliga and has no immediate plans regarding a transfer to Italy.
"The rumours are a strange one to me," he told calciomercato.com. "He has only just signed until 2016 at Schalke.
"Maybe the clubs have contacted each other directly, but all I can say is that at the time of signing, Schalke and the player were completely satisfied.
"The boy is happy at the club and his family are entirely settled in Gelsenkirchen."Koutsoliakos also lavished praise on the Greek centre-back, saying that a move in the distant future would be possible.
"In terms of his age, Kyriakos is one of the best defenders in the world, so it is obvious that other clubs may be interested, but we are not thinking of a move.
"Maybe one day we will go and experience another league, but not now," he added.