The two sides play a two-match Test series, starting November 21.
Marsh, who would have got into the side after impressing in the lone Test he featured in the Ashes 2019.
He had claimed seven scalps including a five-for and scored 41 runs in total.
However, he now could lose his spot.
It's a good lesson for me, says Mitchell Marsh
Marsh said the incident wouldn't happen again. "Sometimes you get beaten, sometimes you get out, and you can't be punching walls," he said. "It's a good lesson for me, hopefully it's a good lesson for other people as well."
"He just told me I'm an idiot basically. He was disappointed for me," Marsh said.
He also gave details about his injury.
"It's my middle finger, just below the wrist there - a fracture straight through the bone," said Marsh.
Meanwhile, Western Australia could now be without their skipper for half of the Sheffield Shield campaign.
Marsh's injury could open the door for Marcus Stoinis
Marsh's injury could open the door for Marcus Stoinis in Brisbane. Stoinis is a versatile all-rounder. Australia go into the Test series as the favorites at home. They will be eyeing a maiden series win in the ongoing ICC World Test Championship.