The winger recollected the difficult time he encountered in the aftermath of March's DFB-Pokal semi-final, where he was accused of uttering a racial slur
The winger denied accusations made by Furth defender Mergim Mavraj that he racially abused Gerald Asamoah immediately after Ilkay Gundogan's winning goal in extra time to send BVB through to the final of the competition.
The Germany international has now revealed he received death threats following the incident.
"After such an intense 120 minutes, all the emotions built up inside of me," Grosskreutz told Bild. "For me the issue is finished. If we see each other next time, we will shake hands.
"What people do, I do not care, but there is a limit - to the point when you start receiving threats via SMS.
"I was my own fault that I went up to Asamoah in the first place. It was a mistake."
Grosskreutz will likely feature when Dortmund face Freiburg on Saturday.