Liverpool goalkeeper Pepe Reina would welcome a return to Barcelona next summer.
Sheffield Wednesday chairman Milan Mandaric has confirmed Neil Warnock is on a five-man manager's shortlist.
Macheda, in the final year of his contract at United, watched Rovers' goalless draw with Yorkshire rivals Huddersfield from the directors' box at the John Smiths Stadium on Saturday and reported for training at the Sky Bet Championship club's Cantley Park complex on Monday morning.
He is expected to go straight into Paul Dickov's squad for Doncaster's league trip to Watford on Tuesday night.
The Italian has failed to live up to his early promise since bursting on to the scene with a superbly-taken last-minute goal on his debut to earn United a 3-2 victory over Aston Villa at Old Trafford in April 2009.
Loan spells with QPR, Sampdoria and Stuttgart, where he spent the last five months of last season, have followed but the 22-year-old has struggled to score goals at all three clubs.
Macheda's last appearance for United came last December in a Champions League defeat to FC Cluj where he came on as a second-half substitute.