The French champions, who were eliminated by Barcelona on away goals last year, reached the last eight once again by completing a comprehensive 6-1 aggregate win over Bayer Leverkusen with a 2-1 home victory on Wednesday.
PSG have lost just once in Europe this season - their final group game, against Benfica, after already having already qualified - and Blanc suspects that nobody will want to draw the Ligue 1 leaders in the last eight.
"I think the other sides in Europe continue to think more and more of Paris Saint-Germain," the former France international told his club's official website.
"We are in the quarter-finals, we have worked very hard to get here and we will keep on working very hard to keep going. The club's objective is to go as far as possible in the Champions League."
Yohan Cabaye, who played 90 minutes in Wednesday's 2-1 win at the Parc des Princes, believes there is still room for improvement, despite the comfortable nature of PSG's progression to the last eight.
"We reached our objective, although not everything was perfect," said the midfielder.
"But we won and now we can turn our attentions to the quarter-finals. We have to continue building on this foundation."