The former defender does, however, believe that a series of injuries could see him return in future.
The midfielder brought an end to his lifelong association with the Reds at the end of last season and moved to America to join MLS side LA Galaxy.
The Galaxy's season recently came to a close, however, and Gerrard has since returned to England, with reports emerging that he could look to train with his former side in a bid to maintain his fitness in the close season.
Keown, though, believes that would be disruptive to Liverpool as Gerrard could look to run the show if he returned.
“Personally I don’t think he should ever have been allowed to leave in the first place,” he told the Daily Mail.
“Maybe Jurgen Klopp would have kept him had he been in charge. But right now I think it would be disruptive to bring him back in. Because of the type of man and player he is, I wouldn’t put it past Gerrard to come back in and start running the show.”
While any return for Gerrard is rumoured to be a be purely a fitness-based one at present, there were suggestions from many that the Reds should look to secure a more permanent deal for their former captain, should the opportunity be there.
Manager Jurgen Klopp appeared to rule out such an idea when he was questioned on the issue, saying that the door is open merely for the midfielder to train with the side, as reported by Sky Sports.
Keown, though, says that a sudden glut of injuries could see the German boss alter his stance and explore the option of a possible loan agreement.
“Klopp says he won’t take him on and I can fully understand that,” he added.
“It was inevitable that when Gerrard finished in the MLS the question would arise. If there is a sudden glut of injuries in midfield and Gerrard is still available, then don’t rule out a possible change of mind.”