Great Britain’s Parker, a Commonwealth bronze medal winner alongside long-term partner Paul Drinkhall, sealed her passage to the next round with a 4-0 victory (11-7, 11-5, 11-9, 11-5).
Team GB’s only representative in the women’s draw revealed she was ‘speechless’ with the atmosphere at ExCel.
She said: "You prepare for these things, but there is no way of preparing for something quite like that.
“I was quite nervous at the beginning but after winning the first game I felt more comfortable.
“The crowd were just unbelievable – I wasn't expecting that at all. In table tennis, you don't usually get that many people in the crowd.
“I'm just speechless – I can't find the words to describe how it felt. I've never had the crowd on my side like that before."
She will now face German Kristin Silbereisen.
In the men’s competition, Drinkhall beat Kuwait’s Ibrahem Alhasan to move into the second round.
The three-time European junior champion and world junior silver and bronze medallist won in straight sets, 11-9, 12-10, 11-9, 11-4.
Like Parker, Drinkhall is the only singles competitor for Team GB at the Games and will now face Singapore’s Zi Yang.
And Drinkhall is confident he has the measure of his next opponent, having played against some of his team-mates in a pre-Olympic warm-up.
He said: "I'm feeling good. He'll be nervous, we (the Great Britain team) played some warm-up games against Singapore a few weeks ago. I didn't play him but I did play his teammates who are ranked higher than me, so he'll be nervous."