Bootsma, 21, was sacked on Tuesday after a member of the public alerted the club to the defender's inappropriate use of social media.
Carlton football manager Andrew McKay said Bootsma's indiscretion was the latest in a series of off-field disciplinary issues over the past year that had seen him lose the trust of his teammates.
Malthouse said on Wednesday he was disappointed for Bootsma, but could not speak for how every Carlton player felt about the decision.
But Malthouse said McKay had addressed the players in the wake of Bootsma's sacking and none had given any indication they did not support the club's move.
"I know superficially they're all on board. There has been no indicator that the players aren't behind what the club has done at all, and they've had an opportunity to speak about it," Malthouse said.
"I think that every player in the room understands the extent to which this football club has gone to enhance their own lives, whether it be on the football field or off, and know in particular how much time has been put into Josh to make it easier for him to play AFL football.
"Since I've been at the club, and I know before I got to the football club, the club has put an enormous amount of effort into all the players, but Josh has taken considerable time up with our people trying to organise his life."
Bootsma was taken with pick No.22 in the 2011 NAB AFL Draft and played 14 games for the Blues.
Twitter: @AFL_Nick