Conte’s long-term future at Chelsea looks in serious doubt after a turbulent season at Stamford Bridge.
Many believe the Italian will be on his way out of the club come the summer with less than 18 months left on his contract.
Wenger is once again under severe pressure at Arsenal, with his side sixth in the Premier League table and struggling to qualify for the Champions League for a second successive season.
Robson says Arsenal must sack Wenger and pounce on Conte as soon as his exit from Chelsea is confirmed.
“They don’t have to look too far (for a new manager),” Robson told ESPN FC.
“They go down the road to west London, there’s a manager on his way out I think at Chelsea.
“Antonio Conte is a brilliant manager, he showed that at Juventus by winning the title three times in a row.
“He came last year to Chelsea when they were struggling under (Jose) Mourinho and he turned them around.
“He’s a coach that dictates to the players, or at least that’s what he tries to do.
“This season I think the Chelsea player have slightly turned away from what he was trying to do.
“But when he goes into a football club, and if he went into Arsenal, he would make sure the players would do what he wanted them to do.
“They would know exactly what their roles in the side are and that doesn’t happen at Arsenal at the moment. He would be a great fit for Arsenal.”