Bayliss crossed the Ashes divide when he took the job in 2015 and walks away having led the country to its first World Cup win earlier this summer.
He signed off with a victory over his compatriots after England drew the Test series 2-2 at The Oval but would be tempted to battle for the urn from the other side.
However, at 56 and with Justin Langer less than 18 months into his work with the Baggy Greens, that looks a long shot.
“I think there’s only one international job I’d take on in a full-time position. That would be the Australia job and that’s in pretty good hands,” he said.
“Justin is doing a great job with them and there’s some good young coaches coming through the Australia system.”
It is not impossible he could work in some capacity for Cricket Australia, though, having previously helped out on an interim basis with their Twenty20 team.
“I’ve signed up to do the IPL (with Sunrisers Hyderabad) but if there’s anything anyone in Australia wants me to get involved in, I’m more than happy to listen to what they might have in mind.
“If I can help out fantastic, if not I’ll look forward to sitting back and watching the Australia and England boys go around”
The Lancastrian was fresh off some standout displays in the 2003 World Cup.
Hales lost his place in last year’s World Cup-winning squad after news of a second failed test for recreational drugs.
The Warwickshire all-rounder is one on 18 bowlers to be selected for personalised practice.
The West Indies are due to arrive on these shores first this summer.
Broad took part in an individual training session at Trent Bridge.
Clare Connor suggested England are considering hosting a Women’s Tri-Series also involving India and South Africa.
The designated bowlers, whose identitites have not been confirmed, will have their temperatures checked.
The ECB had planned to introduce 40 professional contracts this summer across eight regional hubs.
County are waiting on a decision.