According to talkSPORT, the Germany international is out of contract at the end of the season, and has put Liverpool and Arsenal on alert with his recent declaration.
Holtby starred as Schalke taught Arsenal a lesson in the Champions League on Wednesday, travelling back to Germany with all three points after a well deserved 2-0 victory in north London.
Holtby was one of many impressive performers for the German side, and the 22-year-old, who father is English, has recently been rewarded with a national team call-up by Germany coach Joachim Low.
Speaking about a move to the Premier League, Holtby said: "Of course it interests me. But now I'm at Schalke - I love the colours here, I love the team, I love the club.
"My contract runs out next season but you never know. I always said that my dream is to play in England, and it'll [happen] one day, I can tell you that, because my hunger is really big for the Premier League. But I love the Bundesliga so much and I'm happy to be here."
TalkSPORT report Liverpool are leading the race to sign the Schalke star, but Holtby refused to comment on speculation linking him with the Anfield club.
The Germany international operates in the space behind the striker, but Liverpool find themselves light up-front, especially following injury to Fabio Borini.
Brendan Rodgers is left with Luis Suarez as his only senior striker, until January at the latest, and the Liverpool boss may be forced to call on youth team duo Adam Morgan and Samed Yesil.
Arsenal signed two forwards in the summer, Lukas Podolski and Olivier Giroud, but Giroud has failed to settle so far this season.
Holtby is more similar to Santi Cazorla in his style of play than the French international striker, but Arsene Wenger is thought to be a fan of the Schalke player, and could move when the transfer window reopens.