Sky News has learnt that Mr Woodward, who left Old Trafford in 2022, a year after United's involvement in the ill-fated European Super League project, is being lined up as an independent director of Eagle Football Holdings as it prepares to list in the US.
The Eagle Football board is understood to have added Mr Textor's former FuboTV colleague Alex Bafer, the Trilith Studios president and chief executive Frank Patterson and finance executive Sam Lynn as directors in recent weeks.
Raine Group, which handled the sale of Chelsea in 2022 and a minority stake in Manchester United to Sir Jim Ratcliffe the following year, has been overseeing the potential disposal of Eagle Football's Crystal Palace stake.
Last summer, Sky News revealed that Eagle Football had hired investment banks including Stifel and TD Cowen to advise on the IPO, with Bloomberg News adding this week that UBS is also working on the deal.
Sources said on Thursday that it was not certain that Mr Woodward's appointment would go ahead, but confirmed that he had been approached about his first mainstream football directorship since ending his long stint at the former Premier League champions.