Branyan entered a "not guilty" plea.
Judge K.J. Montgomery set a trial date of 10 a.m. March 6. She also continued Branyan's $7,500 bond so he remains out of jail.
Branyan's attorney, Philip Kushner, and Pepper Pike Prosecutor Jonathan D. Greenberg agreed to terms of a temporary protection order against Branyan that protects Branyan's wife, Jill, and their two children.
Channel 3 News has obtained a copy of that protection order.
The order requires Branyan to turn over his keys and garage door openers to both the couple's homes in Pepper Pike and in Franklin, Tenn., and orders him not to be within 500 feet of his wife or either of his two children.
The order does not allow Branyan any visitation rights with his two children, ages 4 and eight months.
It also prohibits him from consuming any alcohol or illegal drugs at any time.
Greenberg, of the Walter & Haverfield law firm, could not be reached early Tuesday for comment.
The charges arose from an alleged incident that happened about 10:30 p.m. Jan. 31.
Police say the couple was on their way back to their Pepper Pike home from a night out at the Cowboy Food & Drink restaurant in Bainbridge when they got into a verbal argument.
Branyan, 32, who was driving the car, allegedly put his hand on Jill's face, causing her to have a cut lip, Pepper Pike police Det. Sgt. Joe Mariola said Tuesday.
When the couple entered their home, Jill's mother saw the injury and said she, Jill and the children should leave the home for the evening and go to her house.
While enroute to her mother's house, Jill drove out of the couple's Hampton Road driveway first and waited in her car for her mother and the children to pull up behind her along Brainard Road, adjacent to the Woodmere police station.
A Woodmere police officer saw Jill sitting in her car and asked if she was OK and what had happened. The officer then called Pepper Pike police.
Pepper Pike police took her statement and, on Feb. 1, they went to the Branyan home and arrested Russell Branyan without incident, Mariola said.
The Branyans have their primary home in Tennessee but have a part-time home in Pepper Pike.
Branyan was a 7th round pick of the Indians in 1994.
He played for the Tribe from 1998 to 2002, and was known for his tape-measure home runs and frequent strikeouts.
During the 2002 season, the Indians dealt him to the Cincinnati Reds.
Last season, Branyan played for the San Diego Padres, Philadelphia Phillies, and St. Louis Cardinals.
He's currently a free agent.