The Premier League leaders put in an uninspired performance at the Emirates earlier this season, trailing to goals from Alexis Sanchez, Theo Walcott and Mesut Ozil after just 40 minutes.
But they have won 15 out of 17 Premier League games since to go top of the table, nine points clear of Arsene Wenger's third-place side.
Stamford Bridge hosts the return clash between the two teams on Saturday and Matic wants revenge for their heaviest defeat of the campaign.
"You can lose a game but the most important thing is how you react and in that game against Arsenal, we did not react on the pitch well. I am sure it will be a different story on Saturday," Matic told the Evening Standard.
"We lost the last game 3-0 and when you lose a match like that playing for this kind of club, it is very hard to accept. It is unusual for us to lose without a fight. But at that moment against Arsenal, we had a bad day and they played well.
"I hoped it was going to be a wake-up call for us and it was. After that match we won 13 games in a row. Sometimes you have to lose a game to wake up and I am sure we will not allow any more defeats like that one. You can lose a game but not in that way.
"Are we looking forward to this game even more to put things right? Of course. We want to see where we are and where they are [as a team]. We will try to win because we are at home.
"They also have qualities and will try to find opportunities. But I am sure that we are ready, mentally and physically, and I am sure the supporters will enjoy this game."