"It was beyond petrifying — I have never been so scared in my entire life," he said.
"As the attack continued with no let-up in sight, I thought my skull was going to crack open, and I wondered how many more punches I could take.
"If nobody had stopped him, and if he had continued beating my head like he wanted to, I may not be here today. I could be dead," Kaplan's told the court, the New York Post reports.
Kaplan's wife also claimed in court that she suffered a miscarriage soon after the attack.
"It was the scariest thing I have ever seen … I really think he was trying to kill Randy.
"We don't even know the trauma seeing the attack of her daddy has had on Carter. What type of person does this in front of children?"
"Thankfully my husband survived, but our unborn child did not," she told the court, reading from her victim impact statement.
Gimelstob's lawyer says he was upset over comments made about his late father but pleaded no contest "to move on with his professional life."
The Association of Tennis Professionals will vote on whether to keep Gimelstob in his role as one of their three player representatives on the ATP board
An ATP statement read: "The decision was taken to let the judicial process run its course before any judgement was made on his future, so with that process complete this is now a subject for review by the board and/or the player council.
"As a related matter, the election for the role of the next Americas player representative on the ATP board - the position currently held by Gimelstob - will take place as scheduled on Tuesday, 14 May, in Rome."
World number one Novak Djokovic leads the players' council which has the power to remove Gimelstob from his current role.
