Kenedy’s rapid opener and Diego Costa’s clincher made it three wins on the bounce for the Blues and moved them into the top half of the table for the first time since August.
Those nine points have moved qualification for European football back within reach and the Serbian feels there is reason to be optimistic under Guus Hiddink.
“It's very important to win games” Matic told Chelsea TV.
“We're a big team and we have to do this is we want to be closer to the first four. It's very difficult to catch them, but we'll try our best to win every game.
“I think we can be in the first six, but we will try to win every game. I know it's difficult, maybe impossible, but in football anything can happen.”
Norwich 1-2 Chelsea in pictures:
Chelsea remain undefeated in the Premier League since Hiddink took temporary charge for a second time in December.
They find themselves in eighth place, four points behind sixth-placed West Ham and eight adrift of Manchester City in the final Champions League spot.
City, along with title contenders Tottenham, still have to travel to Stamford Bridge and a revitalised Chelsea side will fancy their chances against both teams.
Six of their remaining 10 games are against lower ranked sides and their wave of momentum looks set to continue under their interim manager.
Chelsea’s mission impossible continues on Saturday when Mark Hughes’ Stoke travel to west London.