Now 33, Khedira comes off contract in June at Juve.
"As a child, my dream was to play in the Premier League," he said.
"In general, I am satisfied with my career, but one thing is still missing. I have always dreamed of the English championship, but this dream has not yet come true. I watched a lot of Premier League games when I was young, and now I also continue to follow the league.
"I've always enjoyed playing against English teams in the Champions League. The atmosphere and style of football of these teams have always impressed me. If the dream comes true, then it will be an honour for me to play in the Premier League."
Wolves were linked with Khedira only last week.