Hasenhuttl believes Southampton's display against Pep Guardiola’s men was the best his side has produced at home during his 18 months at the club.
Che Adams’ first goal for the Saints was enough to stun the dethroned Premier League champions.
The result moved the Hampshire-based club up to 13th on the league log with 43 points.
In an interview with Sky Sports after the game, Hasenhuttl lauded his men after securing their fifth home victory in the Premier League.
"You have to be brave and have a bit of luck," the Austrian said.
"We showed a lot of passion and we got what we deserved. The goal means a lot to Che and also to us.”
“He has really deserved this goal and he worked hard throughout.”
“Sometimes, it's not possible to get something and I don't just want to talk about one player as there were a lot of good performances.”
"You could always feel the belief and the game plan of allowing them possession and breaking on the counter-attack worked well.”
"Every win is important - we were last in the home rankings and this was by far the best performance we've had here since I was a manager and it had to be in order for us to win."
Next up for Southampton is a trip to the Goodison Park to face Everton in the Premier League on Thursday.
