Captain Harry Kane said England would use their loss to France to be “mentally and physically stronger for the next challenge” as they return from the World Cup in Qatar.
Gareth Southgate’s team checked out of their hotel in Al Wakrah ahead of their flight home.
“Absolutely gutted,” Kane said.
Writing on social media, the Tottenham striker added: “We gave everything and it comes down to a small detail for which I take responsibility. There is no hiding, it hurts and it will take time to recover but it’s part of the sport .
“Now it’s about using the experience to be mentally and physically stronger for the next challenge. Thanks for all the support throughout the tournament – it means a lot.”
Speaking about Kane’s missed penalty, former England striker Alan Shearer told BBC Radio 5 Live: “That’s the life of a centre-forward. You put yourself in those positions and that will haunt Harry for the rest of his life. life.”
England centre-back Harry Maguire echoed his captain’s words and also paid special tribute to Southgate who said he will “examine and reflect” on his team’s exit from the Football Association before making a decision on his future.
Southgate, who has been in charge of England since 2016, has a contract that runs until the Euro 2024 final.
“Last night hurt me. Absolutely disgusted. Special thanks to Gareth and you amazing fans who kept believing in me. I love my country and hope we made you proud “, said Maguire.
Under Southgate, England reached the semi-finals of the 2018 World Cup and the final of Euro 2020 before their elimination against defending champions Qatar.
Striker Marcus Rashford, author of three goals in Qatar, said: “The last few weeks have been a rollercoaster of emotions, each of our team has given everything to be ready for what has been thrown at us, we have come close, but not close enough.
“I’m going to make a promise that we’ll be back.”
Midfielder Declan Rice added: “The greater the talent, the greater the goal. The greater the goal, the greater the pain on the way to achieving it.
“It’s all part of the journey to our success as a team.
“Thank you all for your incredible support. We gave it absolutely everything.”
England left their hotel in Qatar around 12.30pm local time and are expected to land in the UK later on Sunday.
The players waved to fans gathered outside the hotel as they boarded a coach with midfielder Jude Bellingham taking time to sign memorabilia.
Earlier, FA chief executive Mark Bullingham said the team were “suffering” after the round of 16 defeat.
“Like all England supporters, we feel the pain of losing a quarter-final, with the coaches, players and support team suffering this morning,” he said in a statement.
“Gareth and Steve [Holland] prepared the team exceptionally well throughout the tournament. The players were keen to win the trophy and were led very well by Harry Kane.
“But the sport can have nice margins and on the day, against the current world champions, it was not to be.
“They are a very exciting young English team and, despite the intense disappointment last night, they should be very proud of their performance in Qatar.
“We are incredibly proud of Gareth, the players, the coaches and the support team and appreciate all the hard work they have put in.”