Juve are into the quarterfinals after a treble from Ronaldo last night saw them win the tie 3-2 on aggregate.
Matuidi said: "It was an extraordinary match for everyone, it was a special evening. We are happy to be qualified, but now we go ahead, we are in the quarter-finals.
"Tonight was a great game from the first to the last minute. Final goal? Three weeks ago everyone gave us up, we have to stay calm and work even more, I think we have to play like tonight.
"I did well to leave PSG? I am very happy here, we have a lot of great quality players, we have a very strong team and we have Cristiano who is the best in the world, and he made the difference last year at Madrid. We believe in this even more."