Liverpool chiefs are said to be ready to give Slot next season to improve matters on the pitch after the club suffered a trophyless season under the Dutchman, one year after lifting the title.
The Reds finished fifth in the Premier League and limped into the Champions League spots under Slot who has come under immense pressure due to his failing tactics and lack of confidence leading the side.
Mohamed Salah, a key member of the squad for nearly a decade, hit out at Slot earlier this season as he questioned his tactics.
However, as the drama grows surrounding Slot and as Salah departs, Redknapp has revealed that the Egyptian may have preferred life under the current Liverpool boss.
"Mo Salah, when they won the league with Slot, he was very, 'Oh, this is great now.' It was a bit different. It was sometimes difficult under Klopp.
"I just remember him saying that it suits him a lot more with Arne Slot. (Salah said) 'He's given me a lot of license to just not defend as much and then win the game.' I remember him saying that to me.
"So I think it was a very complimentary for Slot. It feels a little bit disrespectful to say Slot hasn't done well or things like that.
"I get he's had a poor season, but I just think we've got to be a little bit more patient with him, and Mo Salah wasn't complaining too much when they won the league.
"But because his form wasn't as good (this season), that's why he's probably come out with remarks (on social media)."
Liverpool will replace Salah this summer as Slot plans ahead for next season where he must start well, or face being let go by the board.