Southampton captain Jose Fonte described his side's showing as "commanding" and admitted it was part of their plan to exploit Sadio Mane's pace against a makeshift Manchester City defence.
Shane Long opened the scoring at St Mary's Stadium before Mane struck three times in a dominant 4-2 win for the hosts against a City side who made a number of changes ahead of their Champions League semi-final second leg with Real Madrid on Wednesday.
Fonte believes his side were the better side and deserved their win to move above Liverpool and into seventh in the standings.
"It was a commanding performance, we were superior and we're very pleased," the Portuguese said. "We knew they could have started quickly in the second half but we were prepared for it.
"The game plan was to explore the pace up front, the willingness to run and chase the ball and exploit the space.
"We were very confident on the ball and Mane was on fire today."
Southampton are now two points behind sixth-placed West Ham in the Premier League table and Fonte is eager to keep fighting for a Europa League spot, with Ronald Koeman's side heading to title-chasing Tottenham next week.
"It's important to be in the fight - you never know what can happen in the Premier League," he added. "We look forward to the Spurs game now."
Hat-trick hero Sadio Mane hailed Southampton's all-round performance in their enthralling victory over Manuel Pellegrini's men.
"The three points was the important thing," Mane told Sky Sports. "I'm happy to score the goals for my team and I hope we keep it going.
"I think all four goals - we're happy with that! We played fantastic football today and we try to work hard for the next games now."
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