The Argentine found the net just before the hour mark on his Serie A debut to give the Bianconeri the three points at the Stadio Luigi Ferraris and the perfect start to their league title defence.
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"Tevez is an absolutely world-class player," the centre-half said.
"But what surprised me more than anything is the way he sacrifices himself to help the team.
"He works like a mule! I am happy for him as he is starting to reap the rewards of all his hard work this summer."
The Old Lady began the season with a comfortable 4-0 win over Lazio in the Supercoppa Italiana before defeating the Blucerchiati, but Chiellini believes there is far more to come from the side.
"As a team we have ample room for improvement, as our legs are still not 100 per cent," he continued.
"Sampdoria were a difficult side to face who closed up well, so it’s good that we allowed them little or nothing in attack."