Commissioner Roger Goodell or a selected designee, usually former league executive Harold Henderson, would listen to the appeal.
Morris started his career with three straight 1,000 yard seasons, but previous year played a limited role as Elliott got all the action.
"I admit that I am far from ideal, but I plan to continue to work very hard, on and off the field, to mature and earn the great opportunity I have been given".
Elliott complained earlier this year that National Football League investigators appeared to be dragging their feet.
"During the upcoming weeks and through the appeal a slew of additional credible and controverting evidence will come to light".
If the suspension goes into effect, Elliott can still participate in preseason practices and games, and return to the team's active roster as soon as October 23. His first possible game would be Week 8 at Washington.
The letter directs Elliott to see a qualified professional for a clinical evaluation and to undergo counseling and treatment if recommended.
Fan Rushes Stage At Britney Spears Concert, Attacks Security Guard!
Further video shows security - and a few of Britney's male dancers - holding the man down on the stage and handcuffing him. Confused, she asks them what's going on, and is clearly terrified when she asks her guard if the man had a gun .
The Columbus City Attorney's office, which was responsible for the investigation, opted not to pursue charges because of "conflicting and inconsistent information". TMZ said Elliott told police investigators he didn't cause the bruises and they happened when the accuser was in a bar fight.
The NFL said its decision to bar Elliott from the field when the regular season begins comes after an "extensive investigation" into a domestic violence complaint first lodged against him a year ago.
There are signs an extended legal battle, perhaps similar to the one involving New England Patriots quarterback Tom Brady following the Deflategate saga, could be on the horizon, though.
Under the NFL's current domestic violence policy, first time offenders receive a six-game suspension, though the league is able to alter that (to make it harsher or more lenient) based on the circumstances surrounding the incident.
According to simulations calculated by CBS's SportsLine, the Cowboys are projected to win 9.2 games with Zeke only playing in 10 games.
Over the course of the a year ago, the league conducted an extensive investigation.
The NFL's letter to Elliott cited the OH case as well as an incident this past spring when Elliott was caught on video pulling down a woman's shirt while watching a St. Patrick's Day parade in Dallas. If he does file, Elliott would then to schedule a hearing with the league within ten days of receipt of the notice.