However, the Israeli midfielder insists he is not thinking about leaving Parkhead, despite links to Premier League clubs such as Sunderland.
Bitton, who has a reported £10 million price tag, is said to be attracting interest from the English Premier League, with Sunderland listed as suitors by the Sunderland Echo last November.
And though he insists he is not thinking about leaving Celtic, the 24-year-old is keen to test himself in one of Europe's main leagues.
"I have heard all about the interest in me, but there has been nothing concrete," Bitton told the Mail.
"Celtic are a big club and I like it here. I am not thinking about leaving and it doesn't concern me.
"I guess if I got an offer that was too good for both sides, Celtic wouldn't stop me from moving forward.
"If I could choose, I'd obviously like to play in one of the main leagues in Europe like England, Spain, Germany or Italy.
"Because Celtic are in Britain, it's more likely the options will come from England. But I like it in Glasgow and we are settled."
Bitton arrived in Glasgow from FC Ashdod three years ago as a replacement for the Southampton-bound Victor Wanyama, who is now a reported Tottenham target.
Despite winning three Premiership titles and a League Cup in his time at Parkhead, the Israeli will no doubt be encouraged by the success of his predecessor, and numerous other old Bhoys, in England.
Bitton's former teammates Fraser Forster and Virgil van Dijk have also impressed on the South Coast, helping the Saints to their highest ever Premier League finish this past season.