The former midfielder has labelled the reaction to the appointment of the Jurgen Klopp as 'ridiculous'.
Rodgers was relieved of his duties at Anfield following a 1-1 draw with Everton in the Merseyside derby before the international break following a poor start to the season.
He had spent heavily in the summer to try and improve his squad and get his side back into the Champions League once more, although yet again the signings made - whether down to him or the transfer committee (or both) - have looked to be poor ones.
McManaman, though, believes the Liverpool board should have backed him again following their poor start - or got rid of him over the summer.
"Last season he could have been sacked when they lost to Crystal Palace and Stoke, that was an appalling end to the season. It could have happened then, but once you’ve given him a summer and given him the money to sign all those players, you cannot sack him."
The former midfielder is, however, enthused by the appointment of Jurgen Klopp following Rodgers’ sacking.
The Liverpool board moved quickly to secure the former Borussia Dortmund manager as the new man in charge at Anfield, in an appointment that has got the Premier League talking and Reds fans dreaming of future glory.
But McManaman has branded the reaction to his appointment 'ridiculous,' insisting that Klopp must be given time as the Liverpool job is not an easy one.
"I think Jurgen Klopp is an excellent replacement. It’s exciting," he added.
"I think the newspapers and everyone have gone overboard, it’s been ridiculous. I’m looking forward to the actual. It’s not going to be easy for him, Liverpool are in a transitional period, they have injuries. Let’s just give him time and settle in."