Leicester dominated the ball with more than 70% possession but Newcastle sat deep and restricted them to just five shots on target in the entire match.
"The team has achieved great things but maybe with another manager we would have struggled even more", he said.
Anyone who has watched Newcastle on a regular basis this season will know what sort of difference the Magpies' Paraguayan ace has made to the forward line on Tyneside, with his performances bringing the very best out of attacking partners Ayoze Perez and Salomon Rondon.
"We're scoring the first goal in a lot of games which is really important for ourselves and then we can kick on and go and get a second and third like we have done in the last game".
Brendan Rodgers' in-form Leicester City side were hard at work at Belvoir Drive ahead of Friday night's fixture at King Power Stadium.
Salomon Rondon nearly gave Newcastle the lead midway through the first half with a ferocious 30-yard free-kick that cannoned back off the woodwork.
Leicester remain seventh after a first home defeat for boss Brendan Rodgers since his move from Celtic in February. That will need to get sorted and we need to focus on football and finishing in a better position than we did last season. There wasn't a lot in the game, our final pass just wasn't there but we gave everything.
Newcastle have won back-to-back league visits to Leicester in the top flight for the first time since September 1959 under manager Charlie Mitten.
Perez nearly squeezed home the second goal for Newcastle with 14 minutes remaining after getting on the end of a loose ball at the near post but Schmeichel was alert to make the save this time.
Since his debut for Newcastle at the start of the 2016-17 Championship season, Matt Ritchie has assisted 17 league goals for the club, at least four more than any other player in that time.