Still only 33 and with the hope he has at least two more years in Formula One beyond the current campaign, the Englishman cannot see himself as a team leader.
"Alain Prost, started a team in the late 1990s and it didn't work out for him," said Button. "He claimed it was the most stressful time of his life: even more so than racing with Ayrton Senna. He said it was non-stop. He said he couldn't sleep. He said it was very tough.
"It's a challenge, definitely, but it's not the challenge I'm looking for."
It is anticipated Button will soon sign a new contract with McLaren, a team he joined in 2010 after winning the world title with Brawn GP the year before.
McLaren have an option on Button's deal for next season and although it has yet to be signed off by team principal Martin Whitmarsh, it is understood to be a formality.
Button, though, is hoping for a contract to take him beyond next year and into a new era with the Woking-based marque when they will again be powered by Honda from 2015.
Meanwhile, Christian Horner, the Red Bull team principal, says Daniel Ricciardo can emerge as one of the sport's biggest stars after signing the Australian to drive alongside world champion Sebastian Vettel from next season.
Ricciardo, 24, moves to Red Bull from its sister team Toro Rosso, whom he joined in 2010 as a test driver.
His F1 career began in June 2011 with Hispania Racing and in 2012 he was given a race seat with Toro Rosso.
In his 42 F1 races so far Ricciardo has never finished higher than seventh but Horner has no doubts about the talents of his new charge.
He said: "Daniel is absolutely the right man for the job. He deserves this graduation on merit. It's a wonderful opportunity for him and I think he's going to be a big star of the future."
Ricciardo replaces fellow Australian Mark Webber at Red Bull but many had expected the team to sign a more experienced driver, such as 2007 world champion Kimi Raikkonen
Horner defended the decision, saying: "Yes, there are drivers that have got great achievements under their belts but if you don't give somebody the chance, how are they going to get those achievements?"