He said it was a stain on the game "we all love and I have loved since I was a boy."
"I need to take a deep breath and spend time with family, friends and trusted advisers. You will hear from me in a few days."
About 10,000 people had commented on the post within 10 minutes of it going live.
Smith and Cameron Bancroft, who was the one to actually tamper with the ball, are set to make statements once they arrive in Australia.
Former Australian cricketer Kim Hughes had a sombre message for his countrymen after the cheating debacle.
They were all handed bans by Cricket Australia, but Hughes told Radio Sport's D'Arcy Waldegrave it was hard to shake the cheat label once you had it.
"Til the day they die, they'll always be known as 'oh, you're the cheat'," Hughes said. "It will be very, very lonely for them for a very long while."
Cricket Australia suspended Smith and Warner for 12 months and Bancroft for nine months for their part in the ball tampering plan. It was a punishment that Hughes said needed to be handed down after the International Cricket Council stood Smith down for one match and fined Bancroft.
"Cricket Australia had no other option. They had to do something, and something concrete. Maybe it's a good example for the rest of the world.
"It's not just been a tragedy for cricket; it's a tragedy for our country. I don't think we've had a darker experience as far as sport is concerned, but certainly from our country's reputation.
"We've always been very proud of that Aussie spirit – have a go but be fair.
"Comments like 'it's just not cricket', 'accept the umpire's decision', those sorts of things are almost part of our culture, so it has been a dark day."
