The Saints were in dispute for over an hour in a tight experience at St Mary's after Aymeric Laporte's own objective on the stroke of half-time offset Raheem Sterling's initial exertion.
This FA Cup quarter-last turned on Mohammed Salisu's crazy test on Gabriel Jesus that saw Kevin de Bruyne reestablish City's lead from the punishment spot following 62 minutes, successfully finishing Southampton's test.
Foden fell off the seat to score a brilliant third and Riyad Mahrez adjusted the evening with 12 minutes left.
Guardiola asserted Foden and Mahrez had the effect in separating a daring Southampton side.
Talking about the 21-year-old England worldwide's objective, the City manager said: "A couple, there are very few however a couple, he is one of them who has [the capacity to score from there].
"He has a staggering shot, he's speedy, quick, he's a phenomenal player - we know it. Near the crate he has a feeling of objective, he was truly splendid.
"It was a tight game, it was [like] in the Premier League games against Southampton due to the quality they have. They are inconceivably coordinated and before the ball they are so forceful and obviously have a decent development.
"Be that as it may, following 2-1, the last part we were a whole lot better and in the end the quality from Phil and Riyad had the effect."
City will confront Liverpool for a spot in the last, while Chelsea take on Crystal Palace in the other semi-last.
Man City take care of business
Manchester City ran out determined victors yet until Salisu's unnecessary intercession that brought about De Bruyne's punishment they were taking steps to take care of remissness under lock and key.
When De Bruyne had scored, notwithstanding, City showed the quality and mercilessness that has put them at the highest point of the Premier League regardless in dispute for the FA Cup and Champions League.
Administrator Pep Guardiola can likewise present such strength off the seat, showed by the commitments from Foden and Mahrez.
Foden's 75th-minute objective was a sight to behold, a rising drive from 20 yards that made a sweet crashing sounded that reverberated around St Mary's once he hit with his left foot.
Yet again mahrez scored one objective and might have had all the more yet the extraordinary orchestrator was man-of-the-match De Bruyne, calling the shots and venturing forward to beat Fraser Forster with a punishment that set City back in the driver's seat.
The way that City can win so convincingly without contacting the statures they are fit for will sound an inauspicious admonition to anybody needing to deny them of any of those three significant awards they will challenge among now and the finish of the season.Southampton were giving on par with what they were getting until Salisu's superfluous tackle on Jesus, barely in a risky position and with the game yet to be determined.
City appreciatively acknowledged the gift and an energetic environment inside a pressed St Mary's was immediately quelled as though both Southampton's players and fans detected this was the definitive second.
Thus it demonstrated as City exploited emptied Saints, who had played with such a lot of energy and merited such a lot of recognition for that initial 62 minutes, in any event, hitting the post through Adam Armstrong at 0-0.
The focused energy style that has made them such troublesome adversaries for such countless groups this season was surging City into blunders under lock and key, one of which required a fine save from manager Zack Steffen minutes before De Bruyne set the guests back in front.
Holy people could even have scored a second adjuster when substitute Che Adams' point-clear exertion was hindered by Steffen yet this was a FA Cup quarter-last that had its fate settled by Salisu's test.
This isn't to say Southampton would have proceeded to win yet that episode changed the accentuation of the tie and Ralph Hasenhuttl's group had given the drive back to Manchester City, never awesome of thoughts.
Holy people have contributed a lot to the FA Cup this season yet all that remains currently is for them to keep on guaranteeing Premier League decency and union in a season that has contained a lot of guarantee.
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