"He's got to remember that's the captain's job, not the coach's job.
"The captain is in charge and it's something Australian cricket has to look at with the way they want to do things."
But Smith insisted he made the Boxing Day Test declaration, a call that was criticised for coming too late in the ultimately drawn match.
"Yeah I (made the call)," Smith said.
"I think Boof was sitting on the sideline where he tends to sit here and there to watch the cricket.
"I was up the top (in the stands) trying to call the guys in but they couldn't see me.
"He (Lehmann) kind of said 'look up there' and called them in.
"They showed him on the TV doing it but I was actually at the top doing it."
Asked if Lehmann's coaching style was destabilising for a captain, Smith said: "No I don't think so.
"Everyone who was playing that Test match knew what was going on.
"I think Boof (Lehmann) has done a terrific job around the group as coach."
Smith said Lehmann did not step on toes as coach.
"It is exclusively up to the captain what happens out there (on the field)," he said.
"In breaks of play in Test matches he gives a bit of (advice) on what he thinks we can do in the next session and that kind of thing.
"But the captain is the one who runs the ship."
Warne's comments came a week after the leggie claimed Cricket Australia (CA) tried to "break" Clarke with a tight fitness deadline.
Clarke had to prove his fitness by the Cup clash with Bangladesh or be cut from the World Cup.
Warne's latest outburst may scupper CA high performance chief Pat Howard's mooted plan to bring the ex-leggie into the team support staff.
Meanwhile, Clarke looks set to make his comeback against a red hot New Zealand at Auckland on Saturday.
A loss will all but book second spot in the pool and a less desirable quarter-final showdown with the unpredictable West Indies, reigning champions India or early favourites South Africa.
Australia fly to New Zealand on Sunday.
-AAP
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