Pochettino has been strongly linked with a controversial move to the Emirates since he was sacked by Spurs earlier in the month.
The Argentine manager took Tottenham to the Champions League final last season but paid the price for a poor start to the 2019-20 campaign and was replaced by Jose Mourinho.
Emery is fighting to save his job at Arsenal, with the Gunners currently eighth in the Premier League, eight points adrift of the top-four.
Arsenal’s season hit a new low on Thursday night as they were beaten 2-1 by Eintracht Frankfurt at a half-empty Emirates Stadium.
Redknapp told Sky Sports: ‘Right now, who do Arsenal fans want?
‘I get it when there’s a manager in the pipeline you want… what style are you? What do you want from a manager?
‘I do think Emery and Marco Silva at Everton are under huge pressure, they need some results really quickly.
‘I’d love to see Pochettino go to Arsenal. It would be great. Go and get him if you can!’
Arsenal hero Paul Merson has also urged his former club to make a move for ex-Spurs boss Pochettino.
He told Sky Sports: ‘Arsenal should go for Mauricio Pochettino. He’s not won anything, but he improved Tottenham over five years, tenfold.
‘He’s a top manager and he is about at the moment. I know he managed at Tottenham, but George Graham had been at Arsenal when he went the other way.
‘You’ve got to get past that sort of stuff. These top managers don’t come along too often, where you don’t even have to pay anything for them.
‘Can I see it happening? No. Should it happen? Yes. But it won’t happen.
‘You don’t have to pay compensation for him, and if you are going to bring someone in, he’s got to be better than the manager you’ve got.
‘I still see Emery being there for a while. They had a chance to get rid of him before the international break.’