The Manchester City defender had not scored for his country before the game, but he was disappointed to see Panama score a late consolation goal to deny Stones and the rest of the England defenders a clean sheet.
It turns out that Gareth Southgate wasn't bluffing when he said that the line-up revealed inadvertently last week by his assistant, Steve Holland, was incorrect.
The Three Lions will qualify for the last-16 of the tournament with a victory over Panama and Southgate is confident his side can secure their progression from Group G on Sunday afternoon.
"I think that one thing you've got to bring out after these two games is the outstanding quality of England " s set-plays.
John Stones benefited from England's set-pieces with two goals from first half corners. And if there is still a tie, they will draw lots to decide first and second. In between their strikes, Jesse Lingard scored a screamer from outside the box.
"It's one of my lucky ones, but I'll take it", he laughed, after edging ahead of Belgium's Romelu Lukaku and Portugal's Cristiano Ronaldo as the World Cup's current top goalscorer.
Lingard was next in on the act, making it 3-0 on 36 minutes with a delightful, curling shot after a neat exchange of passes with Sterling. John Stones gave them the lead with a powerful and well-placed header, meaning all three of their goals in the tournament up until that point had come from corners.
Kane is happy for supporters to dream of success on the world stage but he knows there is a long way to go if he is to lift the trophy on July 15.
As England headed up the tunnel, Panama gathered briefly in the centre of the field as captain Roman Torres attempted to galvanize them. Loftus-Cheek shot and the ball deflected off Kane's heel and into the net to emulate Hurst and Lineker. He said that he's "100 percent sure" that he won't play for the national team after the World Cup, and "90 percent sure" that he won't return to club football either.
Southgate denied Kane the chance to equal it in Nizhny, withdrawing the striker with the Belgium game in mind. The referee spotted it though and correctly awarded England a penalty.
Henderson volleyed just wide, but Panama were looking to make history, with Michael Murillo and Torres having attempts before Baloy slid in to direct home a free-kick.
The Japanese team were unable to follow England into the last 16 but remain well-positioned to progress following an entertaining 2-2 draw with Senegal in the other match held on a high-scoring day in Russian Federation. Their fans, who travelled in numbers and backed them to the hilt, deserve at least one more goal to cheer.