The Denmark international seems certain to join the apparent exodus at the Emirates Stadium this summer after voicing his frustration at a regular role as a substitute.
Bendtner would unlikely be considered as great a loss as Cesc Fabregas, who is wanted by Barcelona, or Manchester City and Manchester United target Samir Nasri.
But Bundesliga champions Dortmund, Bayern Munich and Sporting Lisbon have all been linked with the striker in the wake of claims he is attracting interest from "all the big leagues".
Thomas Bendtner, who is his son's agent, told Sporten.dk: "There is an interest from several German clubs. I can confirm that Borussia Dortmund wish to buy.
"Unfortunately, I can't comment if there has been any negotiations between Dortmund and Nicklas, or Dortmund and Arsenal."