Manager Sir Alex Ferguson might call on both midfielders for the friendly against his son Darren's Peterborough at London Road.
Hargreaves is on the mend following a knee injury while Anderson has been away on international duty with Brazil.
Peterborough boss Ferguson told the Evening Telegraph: "Owen is training this week and if he comes through unscathed he could be here on Saturday.
"There's a chance we could get Anderson and (Ole Gunnar) Solskjaer as well.
"I'll know for sure later in the week but if players like that turn out, it should be a great occasion."
Peterborough have sold more than 9,000 tickets for the match even though United are due to face Chelsea in the Community Shield the following day.
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