Former Arsenal striker said the Tottenham head coach was under pressure heading into the City game, but was keen to praise his impact in the win.
He selected the Tottenham head coach as his 'manager of the week' for masterminding their 4-1 win over City - but perhaps harshly suggested he was a coach under pressure heading into the game.
Wright said: "The Argentine has been under a bit of pressure over Spurs’ performances but to beat City like that, even if a couple of the goals were offside - was terrific.
"They just looked really good and energised and that’s down to the manager."
Tottenham did start the season poorly, but the problems relating to this were in part down to Pochettino's superiors.
Chairman Daniel Levy failed to sign a striker to support Harry Kane, while wingers Clinton N'Jie and Heung-Min Son were added to the squad late, with the Cameroonian still to make his first start for the club.
Only now is Pochettino's side free from distractions, with Emmanuel Adebayor released too, and the improvement in the on pitch performances is clear to see.
Wright added that the entire Tottenham team impressed him, but reserved particular praise for two midfield stars.
He said: "You can see the work ethic of all of them, especially Dele Alli in the middle and even Erik Lamela, while the centre-halves did so well and the full-backs too."