The Russian seventh seed managed to avoid an upset in the second round on Wednesday, beating Bulgarian Tsvetana Pironkova 7-5 6-2.
Among the next generation, Garbine Muguruza, 20, and Anna Schmiedlova, 19, eliminated the Williams sisters.
Mona Barthel, 23, Ajla Tomljanovic, 21, and Eugenie Bouchard, 20, were others to win in Paris on Wednesday.
Sharapova, 27, said she was looking forward to seeing the next generation develop.
“Ultimately that generation and that group of girls are going to be the one holding grand slam titles,” he said.
“That is the reality of it. It’s a process, I am kind of in the middle of those generations. Some have retired since I have started playing, some are still playing. I am right in the middle.
“There is another generation coming up behind me which is great to see, great for the sport. There is a lot of variety, everyone has different games and different appeal. It is fun to see.”
Sharapova said the next generation coming through was just a natural process.
“It is normal that they are coming,” she said.
“I don’t see it any other way of course you are going to have, when I am in a position of being 27 years old and I have been on the tour for so many years that someone that is 20, 21 is going to have good results.”
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