Hull were sent out of the League Cup on Wednesday night by the Blues.
Brown said: “If given time I think any manager would do a good job at Chelsea.
“You’ve the tools of the trade there with quality players already in place.
“Everybody is saying it’s Jose Mourinho’s team, but Avram cannot do anything about that until Christmas time.
“He can bring loan players in of course, but that would be a stop gap. And do you need to strengthen Chelsea with loan players? I doubt it very much.
“But his philosophies on the game I’ve learned about and know about.
“I watched them against Manchester United and they played very good football. Against us they played clinical football.
“They’ve quality throughout the team, so Avram has a very good chance.”