The Germany international was watched by Gunners chief scout Steve Rowley in the Signal Iduna Park side’s 1-0 win over Olympiakos in the Champions League last week, in which Grosskreutz scored the only goal.
The 23-year-old is currently in contract with Jurgen Klopp’s side until June 2014, but has admitted that a move to North London may well be of interest.
“If I do ever leave Dortmund, I would like to go to the Premier League in England, and my favourite club there is Arsenal,” he is reported as saying in The Daily Mail.
Meanwhile, Gunners boss Arsene Wenger has admitted that he is not a fan of mid-season international friendlies, and hopes his players can avoid injury whilst competing for their countries.
“It is certainly not a joy for me but hopefully it is not a pain because I hope the players will come back in good spirits,” he told the North London side’s official website.
“But it could be a pain if we lose some players through injury.
“I don’t believe it will upset our rhythm. It’s always a challenge to get the focus back quickly when players come from international games but let’s hope we can sort that out,” he concluded.
By Gareth McKnight