Wawrinka, who has two grand slam titles, converted his first break point to take a 4-2 lead in the opening set.
Coric stretched his opponent in the next game but Wawrinka managed to hold on to his service game, which went on for over nine minutes.
The second set went with serve till Wawrinka broke with a sublime backhand down the line to go up 6-5 and then served out the match with Coric making an error at the net.