The Argentine leaves the north Londoners after a five-year spell where reaching the Champions League final earlier this year was arguably the highlight.
Former Chelsea and Manchester United manager Jose Mourinho is the favourite to replace Pochettino, with Napoli boss Carlo Ancelotti also linked.
They’d have spoken to somebody and had somebody in line ready to come in
Harry Redknapp on Tottenham
Redknapp has backed either appointment and says chairman Daniel Levy will have already spoken to who he wants to fill Pochettino’s shoes because that is “how they work” at Tottenham.
“They’ll have someone in mind, they’d have spoken to somebody,” Redknapp told Sky Sports News.
“They’ve have spoken to somebody, I know how they work.
“They’d have spoken to somebody and had somebody in line ready to come in.
Harry Redknapp says Tottenham will have already spoken to their next manager (Image: GETTY)
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Napoli boss Carlo Ancelotti is linked with the Tottenham job (Image: GETTY)
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“They’re not chairman who are suddenly going to go ‘Oh, where do we go now? Let’s have a look’.
“All their work would have been done behind the scenes already, make no mistakes about that.
“Mourinho, Jose Mourinho, Ancelotti, someone of that ilk.
“They tried to get Ancelotti when he sacked me. They spoke to Ancelotti, offered him the job at that time, I knew they’d spoke to him when I was still at the club. So they’d have spoken to somebody.