Barton has not yet joined up with his new Rangers teammates, but he is expected to train for the first time on Monday.
And Warburton insists that he has not concerns about the 33-year-old’s arrival, despite his outspoken nature.
“Joey is no different to anyone else," Warburton said. "He wants an environment that will allow him to flourish and be a winner because they are all competitive animals.
“We’ll sit down and discuss Twitter and the likes, but there is not a rule for Joey Barton and a rule for the others. Joey knows that, I’m not saying that in a dictatorial way."
Barton is arguably the highest profile addition made by any team in Scotland this summer.
The midfielder agreed to move to Rangers, following the expiration of his contract with Burnley.
Barton is expected to have a key role to play in Rangers’ midfield, as they aim to challenge for the title in their first season back in the Scottish Premiership.
Rangers’ pre-season so far has largely been spent in America, where they have been on tour.
Rangers won their first pre-season friendly, and they are now due to step up their preparations for the new campaign back in Scotland.