Job done, Kane made way for Jamie Vardy for most of the second half, able to reflect on the biggest win of the tournament so far, England's biggest in any World Cup, and long-overdue ecstasy for the travelling English fans.
Harry Kane struck a hat-trick as England's young and free-flowing team banished the ghost of past failures with a record 6-1 thrashing of feeble Panama on Sunday that eased them into the last 16.
England got off to the ideal start when defender John Stones gave his side the lead with a powerful header from a neatly worked corner-kick.
England have done little to secure a place in the nation's affections for many years - probably since the onset of "Roomania" when the 17-year-old Wayne Rooney burst on the scene at Euro 2004.
Incidentally, he is the first player to have scored a brace and a hattrick in his two consecutive world cup outings, after Gary Lineker in 1985 World Cup finals. "They are architecturally attractive", Southgate said.
"We're extremely proud of each other really".
Legend Geoff Hurst was the hero on that occasion, scoring a hat-trick in England's most famous triumph. If you want to achieve anything in life you have to believe.
Where past England teams might have wilted in warm temperatures, this one pressed with high-tempo intensity to ensure there was no need to scrape a victory like on Monday against Tunisia.
With a victory, England will join Belgium as the second and final team in Group G to advance to the knockout stage.
The Panama defence didn't take note of the VAR this tournament and once again fouled an England player in the box and so Kane stepped up and scored a carbon copy of their first penalty.
'Clinical is what we were asking for and they've done that and they've been fantastic to a man.
Belgium manager Roberto Martinez has hinted he will make major changes to his line-up, with both Lukaku and Hazard picking up knocks, but his true intentions will only be revealed when his team is named.
Substitute Felipe Baloy rewarded them with a consolation goal in the 78th minute, sliding home a free kick that was Panama's first goal in their debut World Cup.