Both PSG and Chelsea have been heavily linked with the Uruguay international, with reports on Tuesday night claiming the French champions had tabled a bid.
Napoli president Aurelio De Laurentiis then insisted Cavani will not leave the Serie A club for less than 63 million euros (£54million).
Now Blanc has professed his admiration for the player and his desire to bring Cavani to the French capital.
Speaking at a press conference, Blanc told reporters: "I would be very happy.
"He is a player that I love, like a lot of people.
"I saw him play several times with Naples and Uruguay, and should he be part of the Parisian team, I would be very happy."
The former Bordeaux boss also revealed he was looking at bringing Lille left-back Lucas Digne and former Barcelona defender Eric Abidal to PSG to provide competition for Maxwell, while midfielder Yohan Cabaye is another he is running the rule over.
He said: "Like all football clubs, there will be departures and arrivals, this is normal at this time.
"We still have technical discussions about the profile of players who can strengthen us."