The 23-year-old Bosnia international progressed through the youth ranks at the German Bundesliga outfit and has spent the past four years as part of the first-team squad.
Kolasinac's current deal is due to run out in 2017 and, as yet, he has not agreed to sign fresh terms which has increased speculation that he could depart.
Several Premier League clubs are believed to be interested and Kolasinac feels his playing style would suit the English game.
But he refused to discuss the possibility of departing Schalke as he remains fully focused on helping the club achieve some success this season.
"There is nothing new to report. My agent and the club are in contact," Kolasinac told Bild. "To be honest, I have not thought about it. It has no priority for me. Currently I am a Schalke player and want to continue to play a good season.
"Many say my style of play would fit well in England. But if I move abroad not only the club changes, but you leave your environment, need to build something new. It's a difficult step which has to be well considered. The gut feeling decides and I also need to talk to my family."
Bundesliga last week