The report lists Manchester United, Aston Villa and Atletico Madrid among the suitors for the German international.
Atlético, in particular, are said to be keen on 29-year-old and have monitored him for some time.
However, Anton remains a central figure in Dortmund’s plans, playing a key role at the heart of defence.
The Black and Yellows are expected to open talks to extend his contract beyond 2028 soon.