The 2009 world champion will form part of Sky F1's broadcasting team as they have exclusive rights to all the races in 2019.
Button, who quit F1 in 2016, hopes to dovetail his TV commitments with defending his Super GT title in Japan, says he cannot wait for next season to get underway.
He said: "I enjoyed working with the Sky team at Silverstone and bringing in different views. I don't mind being outspoken, which is good.
"Next year promises to be an exciting year in Formula One.
"There are a lot of changes and I love the idea of Charles Leclerc going up alongside Sebastian Vettel at Ferrari.
"It will also be interesting to see Pierre Gasly move up to Red Bull and alongside Max Versappen, plus how Red Bull will go with Honda engines, I am still racing with Honda myself, so it is exciting seeing them at Red Bull.
"We've also got two young Brits on the grid again in Lando Norris and George Russell.
"Both are very talented drivers and it is great to see them being competitive in F2."
Button called time on his F1 career after 17 seasons — plus a one-off race in 2017 when he filled in for Fernando Alonso while he raced in the IndyCar 500.
And while Alonso is now quitting to race in the series, Button says he has no intention of racing in IndyCar.
He added: "Great drivers are always missed along with personalities and people who are opinionated but after a couple of years, you won't be thinking about Fernando over a Grand Prix weekend.
"People move on and I think it is the right thing for him. Will he miss F1? Yeah, probably the fights.
"I do miss having a good old scrap on the track but I am getting that elsewhere.
"It is the right time for him. We were there together at McLaren during some difficult times and you just get frustrated and there is no point putting yourself into a bad place.
"If you are winning, it is fine. But if you have had a few years where you have been uncompetitive, then it is tough.
"You spend a lot of time on the road and working within Formula One and if that is not a happy place for you, then it is not a good place.
"So I was happy when I left, but now I am looking forward to coming back. It is a very different role."
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