The utility man was deployed at left-back, consequently set up against slippery Napoli winger Jose Callejon for a fierce battle.
In the end, Sami Khedira and Marek Hamsik traded goals as the Old Lady and the Light Blues shared the spoils at the Stadio San Paolo.
“At the start, we played well, moving the ball from side to side, but once we took the lead, we allowed Napoli to take control and in my view, we weren’t sharp enough in possession,” Allegri told Mediaset Premium.
“I anticipated some difficulties. You win titles with games like these, by picking up difficult points on your travels.
“I have to compliment my players because you can’t always dominate games and especially not against this Napoli side.
“Kwadwo Asamoah had a good game, at times a bit too busy, as Jose Callejon is very difficult to mark."
Asamoah now has 13 league outings, involving 11 starts, to his name this season.
After battling a series of injuries, the 28-year-old seems to be getting back into his elements as his 13 league appearances thus far this campaign sit as his highest in the last two seasons.
In addition, the former Udinese man, who joined Juve in 2012, has also featured three and two times in the Coppa Italia and the Champions League respectively this season.