Oxlade-Chamberlain certainly caught the eye following his all-action display, as the 18-year-old £10million signing from Southampton marked his first senior start with a fine strike.
"He grew through the game and became stronger and stronger," Wenger said.
"What came out was unbelievable - you didn't expect it after the first half.
"You could see that he will be a first-team player here, that is for sure. He has still things to work on but, very quickly, he will be knocking on the door."