The Harlequins director of rugby is a strong contender to replace Andy Robinson in the England set-up - possibly as a team manager - after his success at domestic and European level with Leicester.
The Rugby Football Union's Club England committee must decide whether to appoint someone in the short term to see them through next year's RBS 6 Nations Championship and the defence of the World Cup, or to find a long-term successor to Robinson.
Corry told BBC Radio Five Live: "Dean's success speaks for itself. He knows the game of rugby inside out.
"I don't know who else is up for the job but would I be excited about playing with Dean again? Yes."
Richards insisted earlier in the week that "a lot of questions would have to be asked" before he would accept any offer to succeed Robinson.
"Things would have to be right," he said. "I haven't been approached."