"I'd love Piksi [Stojkovic's nickname] to be my successor," he told Vecernje Novosti.
"There are a hundred reasons for that. His football philosophy is almost identical to mine. Our ideas are the same and we both strive for perfect football.
"I knew he was going to have his teams playing attacking football with many passes. He has done that, showing he will be a great coach.
"I told him that if he could transmit his football imagination to his players he would fly high."
Wenger revealed that Stojkovic, who has just won the league in Japan, is a regular visitor to England.
"Dragan comes to London at least once a year," Wenger confirmed.
"We meet up, chat and try to outsmart each other.
"It's a great achievement for him to have won a championship. I was a coach in Japan for two years and didn't manage it even though I had Piksi, who was the best player in the league, in my team."