Mobile police confirmed to USA Today an arrest warrant on a third-degree harassing communications charge has been issued for Cousins.
Cousins has been accused of threatening to shoot his ex-girlfriend in the head if she refused to let their son attend his wedding last week.
Mo Speights will also work out for the team this week in Los Angeles, and Marcin Gortat is being considered as well.
The Lakers must receive permission from the Grizzlies to talk with Howard.
As news of the injury broke Thursday, there was also an outpouring of support from fellow NBA players on Twitter.
According to reports, Cousins was working out in Las Vegas on Monday when he suffered the injury and left the court.
According to reports, Los Angeles Lakers will be without their new signing DeMarcus Cousins, who has torn his anterior cruciate ligament.
Cousins entered the summer as the front-runner to be Los Angeles' starting center.
“I’ll miss him. I know he’s going to be a huge asset for the Lakers," Thompson told the Los Angeles Times.
Now that they are both with the Lakers, Cousins admitted he and Davis talked about reuniting "numerous times."