The Italy international broke the deadlock with a stunning strike shortly after an hour and doubled his tally with another impressive goal five minutes later as Juventus maintained its perfect start to the season.
Earlier in the evening, Jaime Valdes atoned for his earlier penalty miss with a stoppage-time spot kick to rescue a 1-1 draw for 10-man Parma at home to Fiorentina.
Juve dominated and would have been several goals up before Quagliarella's double had it not been for the heroics of Chievo goalkeeper Stefano Sorrentino.
Sorrentino's counterpart, Gianluigi Buffon, was reduced to the roll of spectator as Juventus cruised to a 43rd game unbeaten in Serie A.
Quagliarella went off 10 minutes from time to a standing ovation. He was replaced by Nicklas Bendtner, with the on-loan Arsenal striker making his Juventus debut.
''It's certainly one of the best weeks in my career,'' Quagliarella said. ''Today I had to prove I was ready and I believe I did that.
''Obviously that standing ovation made me happy and I thank the fans for that.''
It is the first time in five encounters Juventus has managed to beat Chievo. It was the third defeat on the trot for Chievo.
''Juve showed it is stronger in the 90 minutes,'' Chievo coach Domenico Di Carlo said. ''We contained them fairly well in the first half, but then Quagliarella scored twice. Compliments to him, they pushed more and they deserved it. Juve kept us down but we could have done more.
''Sorrentino did very well, today he showed his strength with a great display. It's the squad that needs to find intensity and speed again. If we find that then we can save ourselves quickly. The fixture list has been hard and we knew that, this group knows how to start again, however, and to overcome difficulties.''
Juve broke the deadlock with a fantastic scissor kick from Quagliarella. Sorrentino got a hand to it with what looked like another fantastic save but could turn it only onto his post and in.
Quagliarella doubled his tally when he controlled the ball on the edge of the area before skipping past Chievo defender Dario Dainelli and firing over Sorrentino and into the far corner.