Granqvist, the former Wigan defender, joked that both he and Kane had a 100% record so far for penalties in the tournament, with the Swedish captain scoring two, and Kane scoring three and one in a penalty shootout.
Hosts Russia or Croatia, who meet later on Saturday and are lower ranked than Gareth Southgate's side, are all that stands between England and a first World Cup final since they lifted the trophy in 1966.
As they march forward to the semi-finals, Beckham can start readying himself for a trip to London with Ibrahimovic.
Sweden could do nothing else but attempt to level their game against England through an aerial attack.
The Three Lions are due to open their UEFA Nations League campaign that evening against Spain.
England target World Cup semis after Belgium stun Brazil
Meanwhile, NAIJ.com had earlier reported that Brazil defeated Mexico by 2-0 in their round of 16 fixture. The victor of the tie will face either France or Uruguay in St Petersburg on July 10.
England achieved something David Beckham's generation never managed: It reached the semifinals of the World Cup. In 2014, the team didn't even make it out of the group stage.
Sweden had reached the quarter-finals by making life hard for supposedly superior opponents and it was easy to see why after a dour opening during which England looked incapable of stringing passes together against their hard-working opponents. "All the Swedes in the world are proud of our national team and they will continue to be proud, regardless of how it goes", Ibrahimovic said.
In some respects, this was a comfortable win for England but the fact that Jordan Pickford was named as the official man of the match proves that the goalkeeper still had plenty to do. Sharing a throwback picture of the pair, he wrote: "Yo @davidbeckhamif @england wins I buy you dinner where ever you want in the world, but if @swemntwins you buy me whatever I want from @ikeasverige ok?"
Although Sweden rallied in the final 30 minutes, forcing two good saves from goalkeeper Jordan Pickford, England comfortably held on for its first shutout of the tournament. "I felt that we had the match in our hands".