Despite being England's all-time leading scorer with 51 goals, and having played a big part in helping his nation reach the Euros in France with a perfect record in qualifying, Rooney's place in the starting XI has become a topic of debate.
Without their captain due to a knee injury, Roy Hodgson's side rallied from 2-0 down to record a 3-2 victory over Germany on Saturday, with strikers Kane and Jamie Vardy both getting their names on the scoresheet at the Olympiastadion.
The Three Lions lost their most recent friendly 2-1 against Netherlands on Tuesday but as Rooney held punditry duties on the night, Vardy scored again to boost his chances of starting at the Euros even further.
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Yet Sheringham - who won 51 caps for England - is adament that Rooney should go straight back into the starting lineup once he has fully recovered from ligament damage and partner Kane in attack.
"Wayne Rooney should start for England without a doubt. He’s the England captain," he told Squawka.
"Kane has come on the scene and is demanding he plays with what he’s producing – and I believe Rooney would be a fantastic foil for Kane.
"Kane is now an out-and-out No. 9 and Rooney is an off-the-front player, so I think they would accommodate each other perfectly. They would work well in tandem.
"Dele Alli is a midfielder who gets forward and Rooney is a forward who comes off the front, so you can fit them in the same team with no problem whatsoever. It wouldn’t be like playing Steven Gerrard and Frank Lampard together."