The Red Devils were confirmed as one of the 12 founding clubs of the breakaway competition on Sunday evening, but a fierce backlash led to the 20-time English champions pulling out, alongside fellow Premier League clubs Chelsea, Manchester City, Arsenal, Liverpool and Tottenham Hotspur.
Various reports had suggested that Woodward's decision to leave his role as executive vice-chairman, which was announced on Tuesday, was not linked to the Super League.
However, it was then claimed that the 49-year-old hugely regretted being a part of the breakaway competition and felt that he had made 'one of the biggest mistakes of his professional career'.
According to Sky Sports News, Woodward did not believe that he could back the proposals put forward by the Glazers and therefore decided to stand down from his position.
The former investment banker, who is thought to have a close relationship with Man United co-owner Joel Glazer, will remain in his current role until the end of 2021. body check tags ::