The 25-year-old is the English Premiership's joint top try-scorer with nine, along with club colleague Tom Voyce.
The Lagos-born former pharmacy student has also set the domestic league alight with his dynamic running, clever footwork and electric finishing.
His sterling displays, however, have been overlooked by England head coach Andy Robinson.
Even with a number of high-profile centres - including Will Greenwood, Mike Tindall and Wasps pair Stuart Abbott and Fraser Waters - suffering long-term injuries, Robinson has preferred to call upon the likes of Jamie Noon, Olly Barkley and Newcastle prodigy Mathew Tait.
Despite being in the international wilderness - for now at least - Erinle continues to produce the goods in the Premiership.
But Edwards does not believe a call-up to the British & Irish Lions squad for the forthcoming tour of New Zealand is out of the question.
After witnessing another devastating display by his centre in Friday's 27-25 win over Sale, the former rugby league icon - now number two behind Warren Gatland at the Causeway Stadium - believes tour boss Clive Woodward could do worse than plump for Erinle.
Edwards explained: "I think he should be on the bench for the Lions - for me, he is the world's best impact player.
"I can't believe he's not on the bench for England. I just can't believe how they keep ignoring him.
"Obviously they have their reasons."
Edwards feels Erinle, who has a striking similarity to All Blacks winger Joe Rokocoko in appearance and speed, could play a major role as an impact substitute as teams start to tire in the latter stages of matches.
He continued: "Can you tell me a back that can make an impact like him coming off the bench in the last 20 minutes of a game?"
"I do believe in rugby union you have to have specialist substitutes who are massively powerful, and Ayoola has improved that much that he can play 80 minutes now."