An argument erupted during Manchester City's practice session on Thursday that saw the Italians grapple with each other and Mancini on Friday admitted he lost his temper for "one or two seconds".
Redknapp insists such incidents are rare in the modern game and believes there is little to be gained from reading players the riot act.
"You shouldn't get in those situations, what can you win? It can't happen with players now. Shouting and screaming at players doesn't get you anywhere," he said.
"Years ago it used to happen. Years and years ago some managers would be throwing cups around. Those days are long gone.
"You lose their respect if you behave like that, you have to talk to them.
"Roberto Mancini's a top manager but I'm sure Balotelli can get you like that. He's difficult."
There was little danger of Redknapp dueling with any member of QPR's squad on Thursday after the 1-0 midweek victory over Chelsea had sent spirits soaring at Loftus Road.
The 65-year-old hopes the club's first win at their west London rivals for 30 years will provide the turning point in their battle against relegation from the Barclays Premier League.
"That win brings the pack back a bit now. We're still adrift but at least we have half a chance. If we can put back to back wins together anything can happen," Redknapp said.
"Everyone's buzzing on the back of Chelsea, the whole place feels better. There's nothing like it.
"I've been through it so many times before when that big win can change everything. Hopefully it can do that for us now.
"Because of the situation we're in we'll have to claw out results, get some results and nick a 1-0 where we can. We're not going to smash teams up."
QPR host West Brom in the third round of the FA Cup on Saturday and Redknapp will give the competition the respect he feels it deserves.
"I often wonder why clubs in the middle of the table put weakened teams out," he said.
"The only chance you've got of winning something in this country unless you're one of the big four or five is the FA or Capital One cup.
"I don't know why clubs don't have a go for it. Going to Wembley is fantastic.
"Wining's a good habit to get into. I thought we could have taken something out of our recent game against West Brom.
"If you ask the four teams in the semi-finals of the League Cup, they'll all want to be in that final.
"Chelsea might be a bit blasé, but Swansea, Aston Villa and Bradford would love it."