Powell has been linked with a loan move to the Championship side after making just six appearances for United last season following his transfer from Crewe Alexandra.
Dickov has not discussed a potential deal with his United counterpart David Moyes and would expect plenty of competition for the 19-year-old.
"I've not spoken to David Moyes since he took the job at Old Trafford," Dickov said in the Doncaster Free Press.
"If Nick Powell is a player we would like here, I'm sure there are 10 Premier League clubs and another 20 Championship clubs that would want him as well.
"But, without naming names, that's the quality of player we're looking to sign."
Manchester City striker John Guidetti has also been linked with a loan switch to the Keepmoat Stadium after being sidelined by injury last season.
Reports have claimed City do not want to loan the Swede to another Premier League club, but Dickov is reluctant to discuss any interest in the forward.
He added: "John is somebody I know, I've watched him a lot. Obviously I've got close links at City.
"At this time I think it would be disrespectful to talk about players who are contracted at clubs."