A late challenge on fellow City player Scott Sinclair during a practice session sparked an aggressive reaction from the Italian coach, who was seen shouting and pushing his mercurial striker.
Mancini has since played down the incident, maintaining that Balotelli is still a City player and that the two have moved on.
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"You shouldn't get in those situations.” he told Sky Sports. “What can you win? It can't happen with players now. Shouting and screaming at players doesn't get you anywhere.
"You lose their respect if you behave like that. You have to talk to them.
"Years ago it used to happen. Years and years ago some managers would be throwing cups around. Those days are long gone.”
Mancini joined City in 2009 and has since guided the club into the Champions League as well as winning the Premier League title in dramatic fashion last season.
"Roberto Mancini's a top manager,” Redknapp continued. “but I'm sure Balotelli can get you like that.
"It can't be easy to deal with him, it must be difficult for Roberto. You only have to see the way he is.
"If Mourinho had [at Inter Milan] a problem with him and can't handle him, he's got to be difficult hasn't he?
"The boy's a good player, but obviously there is a problem there somewhere with his attitude. I think the only person that could help him is himself."