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The 35-year-old Manchester United legend left DC United in 2020 to sign for Championship side Derby County as a player-coach.
Rooney was appointed interim manager last November after Phillip Cocu was sacked and enjoyed a positive start at Pride Park.
England's all-time top scorer retired from football after he was appointed permanent Derby manager in January.
However, Rooney's side struggled as they managed only one win in their last 15 league matches last season.
Derby narrowly avoided relegation on the final day of the Championship season by securing a 3-3 draw with Sheffield Wednesday at Pride Park.
Jordan has now pulled no punches towards Rooney by suggesting that he "needs to learn his managerial trade."
Speaking on talkSPORT, the former Crystal Palace chairman said: "The manager, to me, is clueless.
"Every single player of stature can go into a dressing room and have influence if they take the managerial reigns for a period of time.
"When Rooney came in, because of the enigma and stuff that goes with him, they get this bump.
"But 12 games before the end of the season, when you need a manager who knows what they are doing, you cannot buy a worse run than they went on under Rooney.
"There is nothing about Rooney that suggests to me, besides the fact that he was a very good footballer, that he will have the credentials of capability to work in a very difficult Derby environment.
"He needs to learn his managerial trade, and to learn it at a club in the state that Derby is in [...]."
Rooney will face a tough test in the new season amid Derby's financial woes, with the club accepting a suspended three-point deduction due to the failure to pay their players.
According to Jordan, the Derby boss is using his current club as a "stepping stone for if an opportunity comes."
He continued: "What is Rooney's awareness of management? He's played for managers.
"What is his relationship with the Championship? He's kicked a few balls for five minutes in the Championship.
"I couldn't give a monkeys about Rooney -- I care about Derby as a football club. He's using Derby as a stepping stone for if an opportunity comes.
"Unfortunately, right now his performance gives him a stepping stone to never managing again."
Derby will play against the likes of United and Real Betis during their pre-season.
Rooney's men will begin their Championship campaign on 7th August against Huddersfield at Pride Park.
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