The Germany international has been used in a variety of positions over the years, including full-back, on the wing, central midfield and was even once called upon to play in goal.
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"I want to play, no matter where," he told Der Westen.
"I've already been used there for a couple of times in the Bundesliga and I've always done well. That is certainly an option."
Grosskreutz went on to pledge to help Dortmund new-boy Henrikh Mkhitaryan learn German and about the club's fierce rivalry with Schalke.
"I'm teaching him a bit of German and a few Dortmund songs. Then I will tell him something about the derby so he knows everything he needs to know."