The 23-year-old impressed for Germany in the World Cup finals this summer and has only a year left on his contract with Stuttgart.
“Months ago we have tried to thrash out a contract extension with (Khedira), we did not succeed,” Schneider told kicker-Sportmagazin.
“And now Real Madrid has officially indicated their interest in him.”
“There is no agreement and there is also no decision on my future,” Khedira said of the interest from Real Madrid.
“I am delighted about such a club being interested in my services, but first of all I need to think things over.
“I was having a very fairly and square chat with (manager) Christian Gross and Schneider. The manager was very firm on telling me how he would like to carry on working with me in the future.
“This was impressive. For now I am going on holiday and afterwards I am going to get back on the table discussing the future.”