Kane, who scored six goals in Russian Federation to equal Gary Lineker's record for England strikes at a single World Cup, struggled as Gareth Southgate's side slipped to a 2-1 extra-time defeat at the Luzhniki Stadium that ended their hopes of ending over 50 years of hurt.
"I was convinced before the World Cup that Harry Kane would have a good tournament - and he has not failed me", Marta wrote in The Guardian.
"We can all see the difference he has made for England, not only with his goals but also because of his great movement, which creates so many chances for team-mates".
England are through to the last four of the World Cup for the first time since 1990, when they lost to Germany on penalties after a 1-1 draw in Turin.More news: Polish Historian/Scientist Continues Interview As Cat Climbs On His Head
"This will hurt for a while but we can hold our heads up, it's been a fantastic journey but we've got to learn from it and take what we can".
"We've just got to try and keep it going, we're one step closer to what is the biggest game as a professional".
Who do you think will win the 2018 World Cup?
Nearly 20 million people in Britain tuned in for the victory over Sweden, not accounting for the many more who watched in pubs and public viewing areas.
"It was a tough game, a 50-50 game, I'm sure we'll look back at stuff we could have done better but we worked as hard as we could".More news: Erdogan assumes greater powers as Turkey's new era begins
England coach Gareth Southgate praised Kane, who is two goals ahead of Belgium striker Romelu Lukaku for the Golden Boot.
Kane is mindful of the influence he now wields as one of the game's top stars, but the status is one he appears to embrace.
"As a player I know I have a job, on and off the pitch, to inspire people", he said.
This is the second personal tweet to come from Prince William during England's incredible World Cup run; after their impressive 2-0 win against Sweden last week, the future King allowed himself to dream and say those three small words that have been the country's mantra in recent weeks. I've woken up extremely proud to be English today.
England would walk away from Russian Federation 2018 with dignity though after progressing further than expected. The fans were awesome, " Kane said.More news: Andrew Benintendi Comes Up Short In MLB's All-Star Final Vote