"When they kicked him, he remained calm and that's very good for us because in the worst case, he would have got a second yellow card and been out of the game," Courtois told British media.
"In some moments maybe Diego exaggerates a bit, but all of the time, they hit him quite well."
Costa, who has picked up six bookings in the league this season, has been a key figure in Premier League leaders Chelsea's campaign.
"After four or five 50-50 moments where the referee can whistle or not whistle, he gets a bit angry and gets a yellow card," Belgian international Courtois added.
"So it's important for him to stay calm and he's developed that a lot this season. "
Chelsea are 10 points clear at the top ahead of the international break and will host 16th-placed Crystal Palace on April 1.
(Reporting by Hardik Vyas in Bengaluru; Editing by Peter Rutherford)
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