Guus Hiddink was targeting a strong season finale for Chelsea after a 2-1 win at Carrow Road which sent Norwich into the relegation zone.
Chelsea climbed to eighth, five points behind fifth-placed Manchester United and eight adrift of fourth-placed Manchester City with their third straight Premier League win, which came amid controversy as Diego Costa’s decisive goal came from an offside position.
“We have now won a few games in a row. We have to keep on winning,” the Chelsea interim boss said.
“Now with the ambition of Chelsea we must set a new target and see what we can do in the direction of Europe.
“If everyone is on board and there are no big injuries, we’d like to go as high as possible towards European spots.”
Chelsea scored after 39 seconds – Kenedy netting the fastest goal of the Premier League season so far – before assistant referee Michael McDonough failed to flag and referee Lee Mason awarded Costa a second.
Hiddink felt Chelsea should have built on Kenedy’s opener before Costa’s strike.
“We had a splendid start from Kenedy, a beautiful goal. After that we had options for a second,” Hiddink added.
“We should’ve killed it off already. I’m satisfied about the result, but I like to always be a bit more critical. We were a bit sloppy in finishing off.”
Norwich ensured Chelsea never truly had a grip on proceedings and had the better of the second half. Cameron Jerome hit the bar early in the second half and Nathan Redmond pulled a goal back 22 minutes from time, but it was too little, too late.