Sheringham is convinced the Sheffield-born striker can only get better surrounded by talent, and set an example to young English footballers to keep driving for a place in Premier League teams.
“Jamie has put himself in the front line and listening to people who have played at the level he is at now can only help him," Sheringham told ESPN.
“He has always had the talent and the drive to succeed, but he just needed to get into the box more and score more goals.
“He is doing that now and people like Kevin Phillips [ex-England striker], who was working with him at Leicester last year, have helped his development.
"It is nice to see a player coming through the ranks from the lower divisions of the game and making his mark in the Premier League and with England.
"If you have the talent, then you should be given a chance to play at the highest level. Vardy and Kane have proved that you can make a breakthrough at the top level, even in an era when top clubs Premier League sign a lot of foreign players."