Hiddink's side made it 12 league matches without defeat on Tuesday when they traveled to Carrow Road to take on Alex Neil's side and got off to the perfect start with Kenedy giving them the lead after 40 seconds.
Diego Costa managed to grab a second in controversial circumstances just before the half-time whistle, as Nathan Redmond got one back in the second period. But the Blues held out to move up to eighth in the Premier League.
It is a complete turnaround from the position that they were left in after Jose Mourinho's departure in December, sitting just a point above the relegation zone in 16th, and now it seems Hiddink has his eye on a possible European place.
He told Sky Sports that the "ambition of Chelsea" must be to set a "new target" and see what they can do in the "direction of Europe".
He continued saying that all the pieces are place having "won a few games in a row" and have to "keep on winning" and if there are no "big injuries" Hiddink says they would like to go "as high as possible" towards the "European spots".
Tuesday night's victory meant that the Blues had won three games in a row for the first time since April 2015 but they were made to work for the win with the Canaries having numerous chances to snatch a point and Hiddink touched on the battle that they were forced into.
The Dutchman said that Chelsea didn't want to go "into a battle" but were forced by the home side as they were a "bit sloppy" and believes that Chelsea were a "bit complacent" before Costa added the second but admitted that Norwich made their lives "difficult" towards the end.
Chelsea will host Stoke City at Stamford Bridge on Saturday, March 5 with kick-off at 3PM GMT.