Eddie Jones has skirted around answering questions on potentially linking up with Australia, insisting he is not motivated to prove England wrong in his next job.
Jones was sacked as England coach this month after seven years in charge.
The 62-year-old won the Six Nations on three occasions, including a Grand Slam in 2016, and guided the Red Rose to the 2019 Rugby World Cup final, but pressure had been building for some time.
A dismal set of 2022 results saw Jones' England win just five of 12 Tests, prompting his dismissal following a third-placed finish in the Six Nations.
In an interview with BBC Radio 4, Jones said he "wouldn't do anything differently" and is keen for a return to coaching.
73% - Eddie Jones' 73% win rate is the highest of any @EnglandRugby men's head coach - Jones was also the first coach to guide England to a 100% Test record in a calendar year since Geoff Cooke in 1992 (6/6), winning all 13 Tests during his first year in charge in 2016. Legacy. pic.twitter.com/cvgq7Z6WmZ— OptaJonny (@OptaJonny) December 6, 2022
There have been links to Australia – Jones' home nation, who he led to the 2003 World Cup final, losing to England – that were encouraged by comments Rugby Australia chairman Hamish McLennan made to the Daily Mail.
McLennan invited Jones to join the Wallabies set-up, not clarifying his potential role but suggesting they could "weaponise these recent events for Australia" ahead of next year's World Cup, in which a quarter-final meeting with England is on the cards.
Jones sounded less keen to make his next move based solely around his ultimately disappointing experience at Twickenham.
"It's not about coaching England's rivals; it's about adding to the game," he said. "I love the game and I love coaching. I want to continue coaching."
He added: "As you get a bit older, as I am, you just want to leave things in a better place. I just want to share the great experience I have had, particularly with coaching players and teams.
"What we want to see is great games of rugby, and if you have the opportunity to be part of that, you are extremely lucky."
Jones laughed at mention of joining the Australia team, saying: "Be a discerning reader, never believe what you read in the papers."