The It Takes Two host - who took part in the BBC show in 2005 - said that while she was nervous, she was very proud of her famous father.
"I now know how our families felt when I performed on Strictly in 2005," she told The Sun.
"I was terrified. When I saw him on the balcony on Saturday's show, I needed to pace up and down! I had clammy hands. He did really well. He has so much energy."
Johnny Ball's original dance partner Aliona Vilani fractured her ankle last week, before guest professional Iveta Lukosiute stepped in.
"He had had a tough time. Aliona hurt her foot and he lost loads of training time," Zoe Ball continued. "As long as he doesn't sing and perform, he should be okay."
She continued: "My dad has embarrassed me quite a lot during my life in the same way that I now embarrass my children. It's your job as a parent to embarrass and humiliate your children as much as you can to get them back for the stress they cause you at times!
"I feel very proud of Dad. Anything he does out there will be amazing, and I am certainly not worrying about the fact he is the oldest contestant.
"He has always been fit. He skis twice a year and when he was younger, he used to be a drummer. He does have great rhythm."
Johnny Ball recently said that his daughter won't give him preferential treatment on It Takes Two.
Strictly Come Dancing continues on Saturday (October 13) at 6.30pm on BBC One.
Photo gallery - 'Strictly Come Dancing' series 10 - The couples: