Stendel might have led the Tykes back to the second tier last season after finishing second in League One behind Luton Town, but he lasted just three months into the 2019/20 season before his time at Oakwell came to an end.
Barnsley have won just one of their first 11 games and find themselves stuck in a relegation battle already, just a point clear of bottom-of-the-table Stoke City.
Fortunately, the international break means the Yorkshire outfit have time to consider their options with The Mirror claiming that Siewert and Parkinson are two potential candidates to take over.
Siewert, a German like Stendel, also endured a miserable start to the Championship campaign and he lost his job even earlier, Huddersfield getting itchy feet after a home defeat to Fulham in mid-August.
The former Dortmund reserve coach has a fine record when it comes to working with young players, however, and this should appeal to Barnsley given their recent history of promoting from within.
Parkinson, meanwhile, is a far more experienced option than the 37-year-old Siewert. The former Bradford, Charlton and Bolton Wanderers boss walked away from the crisis-ridden Trotters at the start of the season and he would surely be interested in a chance to prove himself in the Championship all over again.
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