The former Palace chairman did not hold back when he spoke about Sturridge and his problem personality.
Jordan believes it is the reason why the former England striker is without a club.
Sturridge is out of contract since leaving Liverpool at the end of last season.
Jordan said to reporters: "No [I would not sign Sturridge on a free]. Not in any parallel universe would I sign Sturridge. Not for me.
"I wouldn't even give him a pay as you play deal. I wouldn't want Sturridge in my dressing room or at my training ground around younger players.
"I think the conventional wisdom in the game is that Daniel Sturridge is a troubled, problem player.
"[This is] an industry that will take some of the worst people at times, and has no care or concern for how people are and what kind of individuals they are – whether that's owners, managers or players...
"The fact nobody wants Sturridge will give you clear indication the industry has a certain perception of him.
"He's one of those players who plays entirely for himself. He is, in my view, all about himself."