According to The Daily Record, Premier League club Southampton are interested in signing Sviatchenko from Celtic this month.
The same publication has also claimed that Copenhagen have made a bid of £1.5 million for the 26-year-old central defender.
The Denmark international has commented on his future, stating that he would like to move to England in the January transfer window.
Sviatchenko told The Scottish Sun: “Copenhagen are a big club so I don’t want to rule anything out – but the priority for me is to stay abroad.
“I feel that I have a lot to contribute and it’s an exciting challenge to be abroad compared to the Super League.
“I can see myself at a Championship club, for example. It’s a bold league where there are a lot of cool matches.
“It could also be a springboard for the Premier League. I’m 26. I’m on my way to my best football age and I want to play somewhere where I can get responsibility.”
Sviatchenko has been on the books of Celtic since January 2016 when he joined from Danish club Midtjylland for a transfer fee reported by BBC Sport to be worth £1.5m when Ronny Deila was in charge.
The Dane arrived at Celtic Park with a strong reputation, but the 26-year-old is struggling for playing time at the moment.
The defender recently told Danish outlet TV3 Sport that Celtic manager Brendan Rodgers has told him that he is free to leave in January (click here to read more).
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