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England Lions opener Duckett, 23, was due to play against a Cricket Australia XI as a number of the senior party were rested.
On Thursday, he was socialising with Lions and senior squad members, who were not under a curfew.
"It's trivial, but in the current climate not acceptable," said coach Trevor Bayliss.
Anderson, who has played in 131 Tests, is England's all-time leading wicket-taker and there is no suggestion the 35-year-old did anything wrong, according to a BBC report.
In September, England all-rounder and vice-captain Ben Stokes was arrested on suspicion of actual bodily harm after an altercation outside a Bristol nightclub.
Then, at the start of the Ashes tour, Jonny Bairstow was accused of 'headbutting' Australia's Cameron Bancroft in a Perth bar.
"Everyone has been warned about how even small things can be blown out of all proportion," added Bayliss.
"I'm disappointed. With what we have had to go through already with these problems, it is not acceptable."
Duckett has been suspended pending a disciplinary investigation that will be led by Lions coach Andy Flower.
When asked if he is "fed up" about having to address off-field matters, Bayliss replied: "Very much so. I'm here to coach the team and I end up spending most of the time trying to explain behaviour that the boys have been warned about."
The latest indiscretion involving the England team is thought to have left management incredibly angry.
There is a feeling trouble usually centres around the same small group of players and that they could pay with their place in the squad, even if that weakens the overall strength of the team.
Northants left-hander Duckett averages 15.71 in four Tests for England, the last of which was against India in November 2016.
He was replaced in the England team for the game at Richardson Park by Joe Clarke.
England are 2-0 down in the Ashes series and will relinquish the urn if they are beaten in the third Test in Perth, which begins on Thursday.
The Ashes squad had been placed under a curfew after the incident between Bairstow and Bancroft came to light during England's 10-wicket defeat in the first Test in Brisbane.
Though both Bairstow and Bancroft described the occurrence as "without malice", England's players were subsequently required to return to their hotel by midnight.
That curfew was lifted for the first time on the night of Duckett's indiscretion.
It is understood that no members of the public were involved and England team security were present.